diff --git a/crates/ruff_linter/resources/test/fixtures/flake8_unused_arguments/ARG.py b/crates/ruff_linter/resources/test/fixtures/flake8_unused_arguments/ARG.py
index fbebdff4b2..7cfb3fceee 100644
--- a/crates/ruff_linter/resources/test/fixtures/flake8_unused_arguments/ARG.py
+++ b/crates/ruff_linter/resources/test/fixtures/flake8_unused_arguments/ARG.py
@@ -210,6 +210,9 @@ def f(a, b):
 # Unused arguments on magic methods.
 ###
 class C:
+    def __new__(cls, x):
+        print("Hello, world!")
+
     def __init__(self, x) -> None:
         print("Hello, world!")
 
@@ -219,6 +222,12 @@ class C:
     def __exit__(self, exc_type, exc_value, traceback) -> None:
         print("Hello, world!")
 
+    def __init_subclass__(cls, x) -> None:
+        print("Hello, world!")
+
+    def __class_getitem__(cls, x):
+        print("Hello, world!")
+
 
 ###
 # Used arguments on chained cast.
diff --git a/crates/ruff_linter/resources/test/fixtures/pylint/bad_staticmethod_argument.py b/crates/ruff_linter/resources/test/fixtures/pylint/bad_staticmethod_argument.py
index 69c459fa6b..cac78f89f1 100644
--- a/crates/ruff_linter/resources/test/fixtures/pylint/bad_staticmethod_argument.py
+++ b/crates/ruff_linter/resources/test/fixtures/pylint/bad_staticmethod_argument.py
@@ -48,3 +48,9 @@ class Foo:
     @staticmethod
     def __new__(cls, x, y, z):  # OK, see https://docs.python.org/3/reference/datamodel.html#basic-customization
         pass
+
+# `__new__` is an implicit staticmethod, so this should still trigger (with
+# `self` but not with `cls` as first argument - see above).
+class Foo:
+    def __new__(self, x, y, z):  # [bad-staticmethod-argument]
+        pass
diff --git a/crates/ruff_linter/resources/test/fixtures/pylint/self_or_cls_assignment.py b/crates/ruff_linter/resources/test/fixtures/pylint/self_or_cls_assignment.py
index fe016694fc..201dcb4368 100644
--- a/crates/ruff_linter/resources/test/fixtures/pylint/self_or_cls_assignment.py
+++ b/crates/ruff_linter/resources/test/fixtures/pylint/self_or_cls_assignment.py
@@ -41,3 +41,10 @@ class Fruit:
 def list_fruits(self, cls) -> None:
     self = "apple"  # Ok
     cls = "banana"  # Ok
+
+# `__new__` is implicitly a static method
+# but for the purposes of this check we treat
+# it as a class method.
+class Foo:
+    def __new__(cls):
+        cls = "apple" # PLW0642
diff --git a/crates/ruff_linter/resources/test/fixtures/pylint/too_many_arguments.py b/crates/ruff_linter/resources/test/fixtures/pylint/too_many_arguments.py
index d2ff54d376..ef0fe15c47 100644
--- a/crates/ruff_linter/resources/test/fixtures/pylint/too_many_arguments.py
+++ b/crates/ruff_linter/resources/test/fixtures/pylint/too_many_arguments.py
@@ -74,3 +74,8 @@ class C:
     def f(y, z, a, b, c):  # OK
         pass
 
+class Foo:
+    # `__new__` counts args like a classmethod
+    # even though it is an implicit staticmethod
+    def __new__(cls,a,b,c,d,e): # Ok
+        ...
diff --git a/crates/ruff_linter/resources/test/fixtures/pylint/too_many_positional_arguments.py b/crates/ruff_linter/resources/test/fixtures/pylint/too_many_positional_arguments.py
index b769acf637..1547d12594 100644
--- a/crates/ruff_linter/resources/test/fixtures/pylint/too_many_positional_arguments.py
+++ b/crates/ruff_linter/resources/test/fixtures/pylint/too_many_positional_arguments.py
@@ -59,3 +59,10 @@ class C:
 
     def f():  # OK
         pass
+
+class Foo:
+    # `__new__` counts args like a classmethod
+    # even though it is an implicit staticmethod
+    def __new__(cls,a,b,c,d,e): # Ok
+        ...
+    
diff --git a/crates/ruff_linter/src/rules/flake8_pyi/rules/custom_type_var_for_self.rs b/crates/ruff_linter/src/rules/flake8_pyi/rules/custom_type_var_for_self.rs
index efe2c4715f..c0299a03e4 100644
--- a/crates/ruff_linter/src/rules/flake8_pyi/rules/custom_type_var_for_self.rs
+++ b/crates/ruff_linter/src/rules/flake8_pyi/rules/custom_type_var_for_self.rs
@@ -159,7 +159,7 @@ pub(crate) fn custom_type_var_instead_of_self(
     // to a type variable, and we emit the diagnostic on some methods that do not have return
     // annotations.
     let (method, diagnostic_range) = match function_kind {
-        FunctionType::ClassMethod => {
+        FunctionType::ClassMethod | FunctionType::NewMethod => {
             if checker.settings.preview.is_enabled() {
                 (
                     Method::PreviewClass(PreviewClassMethod {
diff --git a/crates/ruff_linter/src/rules/flake8_unused_arguments/rules/unused_arguments.rs b/crates/ruff_linter/src/rules/flake8_unused_arguments/rules/unused_arguments.rs
index 8af3769683..c030e4539f 100644
--- a/crates/ruff_linter/src/rules/flake8_unused_arguments/rules/unused_arguments.rs
+++ b/crates/ruff_linter/src/rules/flake8_unused_arguments/rules/unused_arguments.rs
@@ -422,7 +422,6 @@ pub(crate) fn unused_arguments(checker: &Checker, scope: &Scope) {
                         && !is_not_implemented_stub_with_variable(function_def, checker.semantic())
                         && (!visibility::is_magic(name)
                             || visibility::is_init(name)
-                            || visibility::is_new(name)
                             || visibility::is_call(name))
                         && !visibility::is_abstract(decorator_list, checker.semantic())
                         && !visibility::is_override(decorator_list, checker.semantic())
@@ -437,7 +436,6 @@ pub(crate) fn unused_arguments(checker: &Checker, scope: &Scope) {
                         && !is_not_implemented_stub_with_variable(function_def, checker.semantic())
                         && (!visibility::is_magic(name)
                             || visibility::is_init(name)
-                            || visibility::is_new(name)
                             || visibility::is_call(name))
                         && !visibility::is_abstract(decorator_list, checker.semantic())
                         && !visibility::is_override(decorator_list, checker.semantic())
@@ -452,7 +450,6 @@ pub(crate) fn unused_arguments(checker: &Checker, scope: &Scope) {
                         && !is_not_implemented_stub_with_variable(function_def, checker.semantic())
                         && (!visibility::is_magic(name)
                             || visibility::is_init(name)
-                            || visibility::is_new(name)
                             || visibility::is_call(name))
                         && !visibility::is_abstract(decorator_list, checker.semantic())
                         && !visibility::is_override(decorator_list, checker.semantic())
@@ -461,6 +458,19 @@ pub(crate) fn unused_arguments(checker: &Checker, scope: &Scope) {
                         function(Argumentable::StaticMethod, parameters, scope, checker);
                     }
                 }
+                function_type::FunctionType::NewMethod => {
+                    if checker.enabled(Argumentable::StaticMethod.rule_code())
+                        && !function_type::is_stub(function_def, checker.semantic())
+                        && !is_not_implemented_stub_with_variable(function_def, checker.semantic())
+                        && !visibility::is_abstract(decorator_list, checker.semantic())
+                        && !visibility::is_override(decorator_list, checker.semantic())
+                        && !visibility::is_overload(decorator_list, checker.semantic())
+                    {
+                        // we use `method()` here rather than `function()`, as although `__new__` is
+                        // an implicit staticmethod, `__new__` methods must always have >= parameter
+                        method(Argumentable::StaticMethod, parameters, scope, checker);
+                    }
+                }
             }
         }
         ScopeKind::Lambda(ast::ExprLambda { parameters, .. }) => {
diff --git a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG002_ARG.py.snap b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG002_ARG.py.snap
index 0bd147a3e9..3e1e19260a 100644
--- a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG002_ARG.py.snap
+++ b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG002_ARG.py.snap
@@ -58,11 +58,11 @@ ARG.py:66:17: ARG002 Unused method argument: `x`
 68 |         raise NotImplementedError("must use msg")
    |
 
-ARG.py:213:24: ARG002 Unused method argument: `x`
+ARG.py:216:24: ARG002 Unused method argument: `x`
     |
-211 | ###
-212 | class C:
-213 |     def __init__(self, x) -> None:
-    |                        ^ ARG002
 214 |         print("Hello, world!")
+215 |
+216 |     def __init__(self, x) -> None:
+    |                        ^ ARG002
+217 |         print("Hello, world!")
     |
diff --git a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG003_ARG.py.snap b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG003_ARG.py.snap
index 1a7e8e356a..c0187e8c67 100644
--- a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG003_ARG.py.snap
+++ b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG003_ARG.py.snap
@@ -1,6 +1,5 @@
 ---
 source: crates/ruff_linter/src/rules/flake8_unused_arguments/mod.rs
-snapshot_kind: text
 ---
 ARG.py:47:16: ARG003 Unused class method argument: `x`
    |
diff --git a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG004_ARG.py.snap b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG004_ARG.py.snap
index 47b8107b46..da31a5449a 100644
--- a/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG004_ARG.py.snap
+++ b/crates/ruff_linter/src/rules/flake8_unused_arguments/snapshots/ruff_linter__rules__flake8_unused_arguments__tests__ARG004_ARG.py.snap
@@ -1,6 +1,5 @@
 ---
 source: crates/ruff_linter/src/rules/flake8_unused_arguments/mod.rs
-snapshot_kind: text
 ---
 ARG.py:51:11: ARG004 Unused static method argument: `cls`
    |
@@ -25,3 +24,12 @@ ARG.py:55:11: ARG004 Unused static method argument: `x`
    |           ^ ARG004
 56 |         print("Hello, world!")
    |
+
+ARG.py:213:22: ARG004 Unused static method argument: `x`
+    |
+211 | ###
+212 | class C:
+213 |     def __new__(cls, x):
+    |                      ^ ARG004
+214 |         print("Hello, world!")
+    |
diff --git a/crates/ruff_linter/src/rules/pep8_naming/mod.rs b/crates/ruff_linter/src/rules/pep8_naming/mod.rs
index 6bb777d635..15aa305e0d 100644
--- a/crates/ruff_linter/src/rules/pep8_naming/mod.rs
+++ b/crates/ruff_linter/src/rules/pep8_naming/mod.rs
@@ -90,6 +90,7 @@ mod tests {
     }
 
     #[test_case(Rule::InvalidArgumentName, Path::new("N803.py"))]
+    #[test_case(Rule::InvalidArgumentName, Path::new("N804.py"))]
     fn preview_rules(rule_code: Rule, path: &Path) -> Result<()> {
         let snapshot = format!(
             "preview__{}_{}",
diff --git a/crates/ruff_linter/src/rules/pep8_naming/rules/invalid_first_argument_name.rs b/crates/ruff_linter/src/rules/pep8_naming/rules/invalid_first_argument_name.rs
index c61a5a7e4d..4387cb48f5 100644
--- a/crates/ruff_linter/src/rules/pep8_naming/rules/invalid_first_argument_name.rs
+++ b/crates/ruff_linter/src/rules/pep8_naming/rules/invalid_first_argument_name.rs
@@ -127,6 +127,8 @@ impl Violation for InvalidFirstArgumentNameForMethod {
 #[derive(ViolationMetadata)]
 pub(crate) struct InvalidFirstArgumentNameForClassMethod {
     argument_name: String,
+    // Whether the method is `__new__`
+    is_new: bool,
 }
 
 impl Violation for InvalidFirstArgumentNameForClassMethod {
@@ -134,12 +136,19 @@ impl Violation for InvalidFirstArgumentNameForClassMethod {
         ruff_diagnostics::FixAvailability::Sometimes;
 
     #[derive_message_formats]
+    // The first string below is what shows up in the documentation
+    // in the rule table, and it is the more common case.
+    #[allow(clippy::if_not_else)]
     fn message(&self) -> String {
-        "First argument of a class method should be named `cls`".to_string()
+        if !self.is_new {
+            "First argument of a class method should be named `cls`".to_string()
+        } else {
+            "First argument of `__new__` method should be named `cls`".to_string()
+        }
     }
 
     fn fix_title(&self) -> Option<String> {
-        let Self { argument_name } = self;
+        let Self { argument_name, .. } = self;
         Some(format!("Rename `{argument_name}` to `cls`"))
     }
 }
@@ -150,13 +159,24 @@ enum FunctionType {
     Method,
     /// The function is a class method.
     ClassMethod,
+    /// The function is the method `__new__`
+    NewMethod,
 }
 
 impl FunctionType {
     fn diagnostic_kind(self, argument_name: String) -> DiagnosticKind {
         match self {
             Self::Method => InvalidFirstArgumentNameForMethod { argument_name }.into(),
-            Self::ClassMethod => InvalidFirstArgumentNameForClassMethod { argument_name }.into(),
+            Self::ClassMethod => InvalidFirstArgumentNameForClassMethod {
+                argument_name,
+                is_new: false,
+            }
+            .into(),
+            Self::NewMethod => InvalidFirstArgumentNameForClassMethod {
+                argument_name,
+                is_new: true,
+            }
+            .into(),
         }
     }
 
@@ -164,6 +184,7 @@ impl FunctionType {
         match self {
             Self::Method => "self",
             Self::ClassMethod => "cls",
+            Self::NewMethod => "cls",
         }
     }
 
@@ -171,6 +192,7 @@ impl FunctionType {
         match self {
             Self::Method => Rule::InvalidFirstArgumentNameForMethod,
             Self::ClassMethod => Rule::InvalidFirstArgumentNameForClassMethod,
+            Self::NewMethod => Rule::InvalidFirstArgumentNameForClassMethod,
         }
     }
 }
@@ -214,6 +236,11 @@ pub(crate) fn invalid_first_argument_name(checker: &Checker, scope: &Scope) {
             IsMetaclass::Maybe => return,
         },
         function_type::FunctionType::ClassMethod => FunctionType::ClassMethod,
+        // In preview, this violation is caught by `PLW0211` instead
+        function_type::FunctionType::NewMethod if checker.settings.preview.is_enabled() => {
+            return;
+        }
+        function_type::FunctionType::NewMethod => FunctionType::NewMethod,
     };
     if !checker.enabled(function_type.rule()) {
         return;
diff --git a/crates/ruff_linter/src/rules/pep8_naming/snapshots/ruff_linter__rules__pep8_naming__tests__preview__N803_N804.py.snap b/crates/ruff_linter/src/rules/pep8_naming/snapshots/ruff_linter__rules__pep8_naming__tests__preview__N803_N804.py.snap
new file mode 100644
index 0000000000..719c39c477
--- /dev/null
+++ b/crates/ruff_linter/src/rules/pep8_naming/snapshots/ruff_linter__rules__pep8_naming__tests__preview__N803_N804.py.snap
@@ -0,0 +1,4 @@
+---
+source: crates/ruff_linter/src/rules/pep8_naming/mod.rs
+---
+
diff --git a/crates/ruff_linter/src/rules/pylint/mod.rs b/crates/ruff_linter/src/rules/pylint/mod.rs
index 79bb1eafb7..6f484b72cb 100644
--- a/crates/ruff_linter/src/rules/pylint/mod.rs
+++ b/crates/ruff_linter/src/rules/pylint/mod.rs
@@ -442,6 +442,10 @@ mod tests {
     )]
     #[test_case(Rule::InvalidEnvvarDefault, Path::new("invalid_envvar_default.py"))]
     #[test_case(Rule::BadStrStripCall, Path::new("bad_str_strip_call.py"))]
+    #[test_case(
+        Rule::BadStaticmethodArgument,
+        Path::new("bad_staticmethod_argument.py")
+    )]
     fn preview_rules(rule_code: Rule, path: &Path) -> Result<()> {
         let snapshot = format!(
             "preview__{}_{}",
diff --git a/crates/ruff_linter/src/rules/pylint/rules/bad_staticmethod_argument.rs b/crates/ruff_linter/src/rules/pylint/rules/bad_staticmethod_argument.rs
index 21d49f3522..48ce24a798 100644
--- a/crates/ruff_linter/src/rules/pylint/rules/bad_staticmethod_argument.rs
+++ b/crates/ruff_linter/src/rules/pylint/rules/bad_staticmethod_argument.rs
@@ -11,6 +11,9 @@ use crate::checkers::ast::Checker;
 /// ## What it does
 /// Checks for static methods that use `self` or `cls` as their first argument.
 ///
+/// If [`preview`] mode is enabled, this rule also applies to
+/// `__new__` methods, which are implicitly static.
+///
 /// ## Why is this bad?
 /// [PEP 8] recommends the use of `self` and `cls` as the first arguments for
 /// instance methods and class methods, respectively. Naming the first argument
@@ -72,9 +75,14 @@ pub(crate) fn bad_staticmethod_argument(checker: &Checker, scope: &Scope) {
         &checker.settings.pep8_naming.classmethod_decorators,
         &checker.settings.pep8_naming.staticmethod_decorators,
     );
-    if !matches!(type_, function_type::FunctionType::StaticMethod) {
-        return;
-    }
+
+    match type_ {
+        function_type::FunctionType::StaticMethod => {}
+        function_type::FunctionType::NewMethod if checker.settings.preview.is_enabled() => {}
+        _ => {
+            return;
+        }
+    };
 
     let Some(ParameterWithDefault {
         parameter: self_or_cls,
diff --git a/crates/ruff_linter/src/rules/pylint/rules/self_or_cls_assignment.rs b/crates/ruff_linter/src/rules/pylint/rules/self_or_cls_assignment.rs
index 4ec58b6a83..2f18de2054 100644
--- a/crates/ruff_linter/src/rules/pylint/rules/self_or_cls_assignment.rs
+++ b/crates/ruff_linter/src/rules/pylint/rules/self_or_cls_assignment.rs
@@ -10,6 +10,9 @@ use crate::checkers::ast::Checker;
 /// ## What it does
 /// Checks for assignment of `self` and `cls` in instance and class methods respectively.
 ///
+/// This check also applies to `__new__` even though this is technically
+/// a static method.
+///
 /// ## Why is this bad?
 /// The identifiers `self` and `cls` are conventional in Python for the first parameter of instance
 /// methods and class methods, respectively. Assigning new values to these variables can be
@@ -102,6 +105,7 @@ pub(crate) fn self_or_cls_assignment(checker: &Checker, target: &Expr) {
     let method_type = match (function_type, self_or_cls.name().as_str()) {
         (FunctionType::Method { .. }, "self") => MethodType::Instance,
         (FunctionType::ClassMethod { .. }, "cls") => MethodType::Class,
+        (FunctionType::NewMethod, "cls") => MethodType::New,
         _ => return,
     };
 
@@ -134,6 +138,7 @@ fn check_expr(checker: &Checker, target: &Expr, method_type: MethodType) {
 enum MethodType {
     Instance,
     Class,
+    New,
 }
 
 impl MethodType {
@@ -141,6 +146,7 @@ impl MethodType {
         match self {
             MethodType::Instance => "self",
             MethodType::Class => "cls",
+            MethodType::New => "cls",
         }
     }
 }
@@ -150,6 +156,7 @@ impl std::fmt::Display for MethodType {
         match self {
             MethodType::Instance => f.write_str("instance"),
             MethodType::Class => f.write_str("class"),
+            MethodType::New => f.write_str("`__new__`"),
         }
     }
 }
diff --git a/crates/ruff_linter/src/rules/pylint/rules/too_many_arguments.rs b/crates/ruff_linter/src/rules/pylint/rules/too_many_arguments.rs
index 2e20e80cce..f64be8688d 100644
--- a/crates/ruff_linter/src/rules/pylint/rules/too_many_arguments.rs
+++ b/crates/ruff_linter/src/rules/pylint/rules/too_many_arguments.rs
@@ -93,7 +93,9 @@ pub(crate) fn too_many_arguments(checker: &Checker, function_def: &ast::StmtFunc
             &checker.settings.pep8_naming.classmethod_decorators,
             &checker.settings.pep8_naming.staticmethod_decorators,
         ),
-        function_type::FunctionType::Method | function_type::FunctionType::ClassMethod
+        function_type::FunctionType::Method
+            | function_type::FunctionType::ClassMethod
+            | function_type::FunctionType::NewMethod
     ) {
         // If so, we need to subtract one from the number of positional arguments, since the first
         // argument is always `self` or `cls`.
diff --git a/crates/ruff_linter/src/rules/pylint/rules/too_many_positional_arguments.rs b/crates/ruff_linter/src/rules/pylint/rules/too_many_positional_arguments.rs
index 28300a5cb9..90a047c355 100644
--- a/crates/ruff_linter/src/rules/pylint/rules/too_many_positional_arguments.rs
+++ b/crates/ruff_linter/src/rules/pylint/rules/too_many_positional_arguments.rs
@@ -97,7 +97,9 @@ pub(crate) fn too_many_positional_arguments(
             &checker.settings.pep8_naming.classmethod_decorators,
             &checker.settings.pep8_naming.staticmethod_decorators,
         ),
-        function_type::FunctionType::Method | function_type::FunctionType::ClassMethod
+        function_type::FunctionType::Method
+            | function_type::FunctionType::ClassMethod
+            | function_type::FunctionType::NewMethod
     ) {
         // If so, we need to subtract one from the number of positional arguments, since the first
         // argument is always `self` or `cls`.
diff --git a/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0211_bad_staticmethod_argument.py.snap b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0211_bad_staticmethod_argument.py.snap
index 30531d9efa..add63e311b 100644
--- a/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0211_bad_staticmethod_argument.py.snap
+++ b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0211_bad_staticmethod_argument.py.snap
@@ -1,6 +1,5 @@
 ---
 source: crates/ruff_linter/src/rules/pylint/mod.rs
-snapshot_kind: text
 ---
 bad_staticmethod_argument.py:3:13: PLW0211 First argument of a static method should not be named `self`
   |
diff --git a/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0642_self_or_cls_assignment.py.snap b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0642_self_or_cls_assignment.py.snap
index 2192975c9a..e7521e3977 100644
--- a/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0642_self_or_cls_assignment.py.snap
+++ b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__PLW0642_self_or_cls_assignment.py.snap
@@ -150,3 +150,12 @@ self_or_cls_assignment.py:26:9: PLW0642 Reassigned `self` variable in instance m
 28 |     def ok(self) -> None:
    |
    = help: Consider using a different variable name
+
+self_or_cls_assignment.py:50:9: PLW0642 Reassigned `cls` variable in `__new__` method
+   |
+48 | class Foo:
+49 |     def __new__(cls):
+50 |         cls = "apple" # PLW0642
+   |         ^^^ PLW0642
+   |
+   = help: Consider using a different variable name
diff --git a/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__preview__PLW0211_bad_staticmethod_argument.py.snap b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__preview__PLW0211_bad_staticmethod_argument.py.snap
new file mode 100644
index 0000000000..9a18d7a33d
--- /dev/null
+++ b/crates/ruff_linter/src/rules/pylint/snapshots/ruff_linter__rules__pylint__tests__preview__PLW0211_bad_staticmethod_argument.py.snap
@@ -0,0 +1,37 @@
+---
+source: crates/ruff_linter/src/rules/pylint/mod.rs
+---
+bad_staticmethod_argument.py:3:13: PLW0211 First argument of a static method should not be named `self`
+  |
+1 | class Wolf:
+2 |     @staticmethod
+3 |     def eat(self):  # [bad-staticmethod-argument]
+  |             ^^^^ PLW0211
+4 |         pass
+  |
+
+bad_staticmethod_argument.py:15:13: PLW0211 First argument of a static method should not be named `cls`
+   |
+13 | class Sheep:
+14 |     @staticmethod
+15 |     def eat(cls, x, y, z):  # [bad-staticmethod-argument]
+   |             ^^^ PLW0211
+16 |         pass
+   |
+
+bad_staticmethod_argument.py:19:15: PLW0211 First argument of a static method should not be named `self`
+   |
+18 |     @staticmethod
+19 |     def sleep(self, x, y, z):  # [bad-staticmethod-argument]
+   |               ^^^^ PLW0211
+20 |         pass
+   |
+
+bad_staticmethod_argument.py:55:17: PLW0211 First argument of a static method should not be named `self`
+   |
+53 | # `self` but not with `cls` as first argument - see above).
+54 | class Foo:
+55 |     def __new__(self, x, y, z):  # [bad-staticmethod-argument]
+   |                 ^^^^ PLW0211
+56 |         pass
+   |
diff --git a/crates/ruff_python_semantic/src/analyze/function_type.rs b/crates/ruff_python_semantic/src/analyze/function_type.rs
index a9ba29c0e5..49dd3d089d 100644
--- a/crates/ruff_python_semantic/src/analyze/function_type.rs
+++ b/crates/ruff_python_semantic/src/analyze/function_type.rs
@@ -11,6 +11,9 @@ pub enum FunctionType {
     Method,
     ClassMethod,
     StaticMethod,
+    /// `__new__` is an implicit static method but
+    /// is treated similarly to class methods for several lint rules
+    NewMethod,
 }
 
 /// Classify a function based on its scope, name, and decorators.
@@ -30,17 +33,22 @@ pub fn classify(
         .any(|decorator| is_static_method(decorator, semantic, staticmethod_decorators))
     {
         FunctionType::StaticMethod
-    } else if matches!(name, "__new__" | "__init_subclass__" | "__class_getitem__")  // Special-case class method, like `__new__`.
-        || decorator_list.iter().any(|decorator| is_class_method(decorator, semantic, classmethod_decorators))
+    } else if decorator_list
+        .iter()
+        .any(|decorator| is_class_method(decorator, semantic, classmethod_decorators))
     {
         FunctionType::ClassMethod
     } else {
-        // It's an instance method.
-        FunctionType::Method
+        match name {
+            "__new__" => FunctionType::NewMethod, // Implicit static method.
+            "__init_subclass__" | "__class_getitem__" => FunctionType::ClassMethod, // Implicit class methods.
+            _ => FunctionType::Method, // Default to instance method.
+        }
     }
 }
 
 /// Return `true` if a [`Decorator`] is indicative of a static method.
+/// Note: Implicit static methods like `__new__` are not considered.
 fn is_static_method(
     decorator: &Decorator,
     semantic: &SemanticModel,
@@ -81,6 +89,7 @@ fn is_static_method(
 }
 
 /// Return `true` if a [`Decorator`] is indicative of a class method.
+/// Note: Implicit class methods like `__init_subclass__` and `__class_getitem__` are not considered.
 fn is_class_method(
     decorator: &Decorator,
     semantic: &SemanticModel,