diff --git a/crates/uv-python/src/implementation.rs b/crates/uv-python/src/implementation.rs
index 4cfd1ef9e..869ddbc6a 100644
--- a/crates/uv-python/src/implementation.rs
+++ b/crates/uv-python/src/implementation.rs
@@ -10,14 +10,14 @@ pub enum Error {
     UnknownImplementation(String),
 }
 
-#[derive(Debug, Eq, PartialEq, Clone, Copy, Default, PartialOrd, Ord)]
+#[derive(Debug, Eq, PartialEq, Clone, Copy, Default, PartialOrd, Ord, Hash)]
 pub enum ImplementationName {
     #[default]
     CPython,
     PyPy,
 }
 
-#[derive(Debug, Eq, PartialEq, Clone, Ord, PartialOrd)]
+#[derive(Debug, Eq, PartialEq, Clone, Ord, PartialOrd, Hash)]
 pub enum LenientImplementationName {
     Known(ImplementationName),
     Unknown(String),
diff --git a/crates/uv-python/src/installation.rs b/crates/uv-python/src/installation.rs
index 7a17ed4f0..003fddd17 100644
--- a/crates/uv-python/src/installation.rs
+++ b/crates/uv-python/src/installation.rs
@@ -208,7 +208,7 @@ pub enum PythonInstallationKeyError {
     ParseError(String, String),
 }
 
-#[derive(Debug, Clone, PartialEq, Eq)]
+#[derive(Debug, Clone, PartialEq, Eq, Hash)]
 pub struct PythonInstallationKey {
     pub(crate) implementation: LenientImplementationName,
     pub(crate) major: u8,
diff --git a/crates/uv-python/src/managed.rs b/crates/uv-python/src/managed.rs
index d2d35fb04..07b33035d 100644
--- a/crates/uv-python/src/managed.rs
+++ b/crates/uv-python/src/managed.rs
@@ -229,7 +229,7 @@ Error=This Python installation is managed by uv and should not be modified.
 ";
 
 /// A uv-managed Python installation on the current system..
-#[derive(Debug, Clone, Eq, PartialEq, Ord, PartialOrd)]
+#[derive(Debug, Clone, Eq, PartialEq, Ord, PartialOrd, Hash)]
 pub struct ManagedPythonInstallation {
     /// The path to the top-level directory of the installed Python.
     path: PathBuf,
diff --git a/crates/uv-python/src/platform.rs b/crates/uv-python/src/platform.rs
index d81d09939..e6dc3e72b 100644
--- a/crates/uv-python/src/platform.rs
+++ b/crates/uv-python/src/platform.rs
@@ -13,13 +13,13 @@ pub enum Error {
     UnknownLibc(String),
 }
 
-#[derive(Debug, Eq, PartialEq, Clone, Copy)]
+#[derive(Debug, Eq, PartialEq, Clone, Copy, Hash)]
 pub struct Arch(pub(crate) target_lexicon::Architecture);
 
-#[derive(Debug, Eq, PartialEq, Clone, Copy)]
+#[derive(Debug, Eq, PartialEq, Clone, Copy, Hash)]
 pub struct Os(pub(crate) target_lexicon::OperatingSystem);
 
-#[derive(Debug, Eq, PartialEq, Clone, Copy)]
+#[derive(Debug, Eq, PartialEq, Clone, Copy, Hash)]
 pub enum Libc {
     Some(target_lexicon::Environment),
     None,
diff --git a/crates/uv/src/commands/python/install.rs b/crates/uv/src/commands/python/install.rs
index 8cb51132b..1a912703a 100644
--- a/crates/uv/src/commands/python/install.rs
+++ b/crates/uv/src/commands/python/install.rs
@@ -1,9 +1,10 @@
+use std::collections::BTreeSet;
 use std::fmt::Write;
 
 use anyhow::Result;
 use fs_err as fs;
 use futures::StreamExt;
-
+use itertools::Itertools;
 use uv_cache::Cache;
 use uv_client::Connectivity;
 use uv_configuration::PreviewMode;
@@ -36,6 +37,7 @@ pub(crate) async fn install(
     let installations_dir = installations.root();
     let _lock = installations.acquire_lock()?;
 
+    let targets = targets.into_iter().collect::<BTreeSet<_>>();
     let requests: Vec<_> = if targets.is_empty() {
         if let Some(requests) = requests_from_version_file().await? {
             requests
@@ -101,15 +103,6 @@ pub(crate) async fn install(
         return Ok(ExitStatus::Success);
     }
 
-    if unfilled_requests.len() > 1 {
-        writeln!(
-            printer.stderr(),
-            "Found {}/{} versions requiring installation",
-            unfilled_requests.len(),
-            requests.len()
-        )?;
-    }
-
     let downloads = unfilled_requests
         .into_iter()
         // Populate the download requests with defaults
@@ -117,6 +110,18 @@ pub(crate) async fn install(
         .map(|request| ManagedPythonDownload::from_request(&request))
         .collect::<Result<Vec<_>, uv_python::downloads::Error>>()?;
 
+    // Ensure we only download each version once
+    let downloads = downloads
+        .into_iter()
+        .unique_by(|download| download.key())
+        .collect::<Vec<_>>();
+
+    writeln!(
+        printer.stderr(),
+        "Found {} versions requiring installation",
+        downloads.len()
+    )?;
+
     // Construct a client
     let client = uv_client::BaseClientBuilder::new()
         .connectivity(connectivity)
diff --git a/crates/uv/src/commands/python/uninstall.rs b/crates/uv/src/commands/python/uninstall.rs
index 8615eeb35..e8de59fc3 100644
--- a/crates/uv/src/commands/python/uninstall.rs
+++ b/crates/uv/src/commands/python/uninstall.rs
@@ -27,6 +27,7 @@ pub(crate) async fn uninstall(
     let installations = ManagedPythonInstallations::from_settings()?.init()?;
     let _lock = installations.acquire_lock()?;
 
+    let targets = targets.into_iter().collect::<BTreeSet<_>>();
     let requests = targets
         .iter()
         .map(|target| PythonRequest::parse(target.as_str()))
@@ -83,7 +84,7 @@ pub(crate) async fn uninstall(
         return Ok(ExitStatus::Failure);
     }
 
-    let tasks = futures::stream::iter(matching_installations.iter())
+    let tasks = futures::stream::iter(matching_installations.iter().unique())
         .map(|installation| async {
             (
                 installation.key(),