diff --git a/crates/oxc_mangler/src/lib.rs b/crates/oxc_mangler/src/lib.rs
index d43bea1b8cbf6..f3eac0243ad3a 100644
--- a/crates/oxc_mangler/src/lib.rs
+++ b/crates/oxc_mangler/src/lib.rs
@@ -21,6 +21,9 @@ pub struct MangleOptions {
     /// Default: `false`
     pub top_level: bool,
 
+    /// Keep function / class names
+    pub keep_names: MangleOptionsKeepNames,
+
     /// Use more readable mangled names
     /// (e.g. `slot_0`, `slot_1`, `slot_2`, ...) for debugging.
     ///
@@ -28,6 +31,35 @@ pub struct MangleOptions {
     pub debug: bool,
 }
 
+#[derive(Debug, Clone, Copy, Default)]
+pub struct MangleOptionsKeepNames {
+    /// Keep function names so that `Function.prototype.name` is preserved.
+    ///
+    /// Default `false`
+    pub function: bool,
+
+    /// Keep class names so that `Class.prototype.name` is preserved.
+    ///
+    /// Default `false`
+    pub class: bool,
+}
+
+impl MangleOptionsKeepNames {
+    pub fn all_false() -> Self {
+        Self { function: false, class: false }
+    }
+
+    pub fn all_true() -> Self {
+        Self { function: true, class: true }
+    }
+}
+
+impl From<bool> for MangleOptionsKeepNames {
+    fn from(keep_names: bool) -> Self {
+        if keep_names { Self::all_true() } else { Self::all_false() }
+    }
+}
+
 type Slot = usize;
 
 /// # Name Mangler / Symbol Minification
@@ -206,6 +238,8 @@ impl Mangler {
         } else {
             Default::default()
         };
+        let (keep_name_names, keep_name_symbols) =
+            Mangler::collect_keep_name_symbols(self.options.keep_names, &scoping);
 
         let allocator = Allocator::default();
 
@@ -225,6 +259,16 @@ impl Mangler {
                 continue;
             }
 
+            // Sort `bindings` in declaration order.
+            tmp_bindings.clear();
+            tmp_bindings.extend(
+                bindings.values().copied().filter(|binding| !keep_name_symbols.contains(binding)),
+            );
+            tmp_bindings.sort_unstable();
+            if tmp_bindings.is_empty() {
+                continue;
+            }
+
             let mut slot = slot_liveness.len();
 
             reusable_slots.clear();
@@ -235,11 +279,11 @@ impl Mangler {
                     .enumerate()
                     .filter(|(_, slot_liveness)| !slot_liveness.contains(scope_id.index()))
                     .map(|(slot, _)| slot)
-                    .take(bindings.len()),
+                    .take(tmp_bindings.len()),
             );
 
             // The number of new slots that needs to be allocated.
-            let remaining_count = bindings.len() - reusable_slots.len();
+            let remaining_count = tmp_bindings.len() - reusable_slots.len();
             reusable_slots.extend(slot..slot + remaining_count);
 
             slot += remaining_count;
@@ -248,10 +292,6 @@ impl Mangler {
                     .resize_with(slot, || FixedBitSet::with_capacity(scoping.scopes_len()));
             }
 
-            // Sort `bindings` in declaration order.
-            tmp_bindings.clear();
-            tmp_bindings.extend(bindings.values().copied());
-            tmp_bindings.sort_unstable();
             for (&symbol_id, assigned_slot) in
                 tmp_bindings.iter().zip(reusable_slots.iter().copied())
             {
@@ -282,6 +322,7 @@ impl Mangler {
         let frequencies = self.tally_slot_frequencies(
             &scoping,
             &exported_symbols,
+            &keep_name_symbols,
             total_number_of_slots,
             &slots,
             &allocator,
@@ -304,6 +345,8 @@ impl Mangler {
                     && !root_unresolved_references.contains_key(n)
                     && !(root_bindings.contains_key(n)
                         && (!self.options.top_level || exported_names.contains(n)))
+                    // TODO: only skip the names that are kept in the current scope
+                    && !keep_name_names.contains(n)
                 {
                     break name;
                 }
@@ -368,6 +411,7 @@ impl Mangler {
         &'a self,
         scoping: &Scoping,
         exported_symbols: &FxHashSet<SymbolId>,
+        keep_name_symbols: &FxHashSet<SymbolId>,
         total_number_of_slots: usize,
         slots: &[Slot],
         allocator: &'a Allocator,
@@ -388,6 +432,9 @@ impl Mangler {
             if is_special_name(scoping.symbol_name(symbol_id)) {
                 continue;
             }
+            if keep_name_symbols.contains(&symbol_id) {
+                continue;
+            }
             let index = slot;
             frequencies[index].slot = slot;
             frequencies[index].frequency += scoping.get_resolved_reference_ids(symbol_id).len();
@@ -421,6 +468,21 @@ impl Mangler {
             .map(|id| (id.name, id.symbol_id()))
             .collect()
     }
+
+    fn collect_keep_name_symbols(
+        keep_names: MangleOptionsKeepNames,
+        scoping: &Scoping,
+    ) -> (FxHashSet<&str>, FxHashSet<SymbolId>) {
+        let ids: FxHashSet<SymbolId> = keep_names
+            .function
+            .then(|| scoping.function_name_symbols())
+            .into_iter()
+            .flatten()
+            .chain(keep_names.class.then(|| scoping.class_name_symbols()).into_iter().flatten())
+            .copied()
+            .collect();
+        (ids.iter().map(|id| scoping.symbol_name(*id)).collect(), ids)
+    }
 }
 
 fn is_special_name(name: &str) -> bool {
diff --git a/crates/oxc_minifier/examples/mangler.rs b/crates/oxc_minifier/examples/mangler.rs
index d8b6fd764490f..594e30e823e1c 100644
--- a/crates/oxc_minifier/examples/mangler.rs
+++ b/crates/oxc_minifier/examples/mangler.rs
@@ -15,6 +15,7 @@ use pico_args::Arguments;
 fn main() -> std::io::Result<()> {
     let mut args = Arguments::from_env();
 
+    let keep_names = args.contains("--keep-names");
     let debug = args.contains("--debug");
     let twice = args.contains("--twice");
     let name = args.free_from_str().unwrap_or_else(|_| "test.js".to_string());
@@ -23,11 +24,11 @@ fn main() -> std::io::Result<()> {
     let source_text = std::fs::read_to_string(path)?;
     let source_type = SourceType::from_path(path).unwrap();
 
-    let printed = mangler(&source_text, source_type, debug);
+    let printed = mangler(&source_text, source_type, keep_names, debug);
     println!("{printed}");
 
     if twice {
-        let printed2 = mangler(&printed, source_type, debug);
+        let printed2 = mangler(&printed, source_type, keep_names, debug);
         println!("{printed2}");
         println!("same = {}", printed == printed2);
     }
@@ -35,11 +36,15 @@ fn main() -> std::io::Result<()> {
     Ok(())
 }
 
-fn mangler(source_text: &str, source_type: SourceType, debug: bool) -> String {
+fn mangler(source_text: &str, source_type: SourceType, keep_names: bool, debug: bool) -> String {
     let allocator = Allocator::default();
     let ret = Parser::new(&allocator, source_text, source_type).parse();
     let symbol_table = Mangler::new()
-        .with_options(MangleOptions { debug, top_level: source_type.is_module() })
+        .with_options(MangleOptions {
+            keep_names: keep_names.into(),
+            debug,
+            top_level: source_type.is_module(),
+        })
         .build(&ret.program);
     CodeGenerator::new().with_scoping(Some(symbol_table)).build(&ret.program).code
 }
diff --git a/crates/oxc_minifier/src/lib.rs b/crates/oxc_minifier/src/lib.rs
index 0837a7d908cdf..0451ba0ab49f7 100644
--- a/crates/oxc_minifier/src/lib.rs
+++ b/crates/oxc_minifier/src/lib.rs
@@ -16,7 +16,7 @@ use oxc_ast::ast::Program;
 use oxc_mangler::Mangler;
 use oxc_semantic::{Scoping, SemanticBuilder, Stats};
 
-pub use oxc_mangler::MangleOptions;
+pub use oxc_mangler::{MangleOptions, MangleOptionsKeepNames};
 
 pub use crate::{
     compressor::Compressor, options::CompressOptions, options::CompressOptionsKeepNames,
diff --git a/crates/oxc_minifier/tests/mangler/mod.rs b/crates/oxc_minifier/tests/mangler/mod.rs
index be3f3846aaf65..252c04cb163fd 100644
--- a/crates/oxc_minifier/tests/mangler/mod.rs
+++ b/crates/oxc_minifier/tests/mangler/mod.rs
@@ -6,20 +6,21 @@ use oxc_mangler::{MangleOptions, Mangler};
 use oxc_parser::Parser;
 use oxc_span::SourceType;
 
-fn mangle(source_text: &str, top_level: bool) -> String {
+fn mangle(source_text: &str, top_level: bool, keep_names: bool) -> String {
     let allocator = Allocator::default();
     let source_type = SourceType::mjs();
     let ret = Parser::new(&allocator, source_text, source_type).parse();
     let program = ret.program;
-    let symbol_table =
-        Mangler::new().with_options(MangleOptions { debug: false, top_level }).build(&program);
+    let symbol_table = Mangler::new()
+        .with_options(MangleOptions { keep_names: keep_names.into(), debug: false, top_level })
+        .build(&program);
     CodeGenerator::new().with_scoping(Some(symbol_table)).build(&program).code
 }
 
 #[test]
 fn direct_eval() {
     let source_text = "function foo() { let NO_MANGLE; eval('') }";
-    let mangled = mangle(source_text, false);
+    let mangled = mangle(source_text, false, false);
     assert_eq!(mangled, "function foo() {\n\tlet NO_MANGLE;\n\teval(\"\");\n}\n");
 }
 
@@ -61,14 +62,25 @@ fn mangler() {
         "export const foo = 1; foo",
         "const foo = 1; foo; export { foo }",
     ];
+    let keep_name_cases = [
+        "function _() { function foo() { var x } }",
+        "function _() { var foo = function() { var x } }",
+        "function _() { var foo = () => { var x } }",
+        "function _() { class Foo { foo() { var x } } }",
+        "function _() { var Foo = class { foo() { var x } } }",
+    ];
 
     let mut snapshot = String::new();
     cases.into_iter().fold(&mut snapshot, |w, case| {
-        write!(w, "{case}\n{}\n", mangle(case, false)).unwrap();
+        write!(w, "{case}\n{}\n", mangle(case, false, false)).unwrap();
         w
     });
     top_level_cases.into_iter().fold(&mut snapshot, |w, case| {
-        write!(w, "{case}\n{}\n", mangle(case, true)).unwrap();
+        write!(w, "{case}\n{}\n", mangle(case, true, false)).unwrap();
+        w
+    });
+    keep_name_cases.into_iter().fold(&mut snapshot, |w, case| {
+        write!(w, "{case}\n{}\n", mangle(case, false, true)).unwrap();
         w
     });
 
diff --git a/crates/oxc_minifier/tests/mangler/snapshots/mangler.snap b/crates/oxc_minifier/tests/mangler/snapshots/mangler.snap
index 85ab853cc83aa..0aebcf67ff29d 100644
--- a/crates/oxc_minifier/tests/mangler/snapshots/mangler.snap
+++ b/crates/oxc_minifier/tests/mangler/snapshots/mangler.snap
@@ -235,3 +235,42 @@ const foo = 1; foo; export { foo }
 const e = 1;
 e;
 export { e as foo };
+
+function _() { function foo() { var x } }
+function _() {
+	function foo() {
+		var e;
+	}
+}
+
+function _() { var foo = function() { var x } }
+function _() {
+	var foo = function() {
+		var e;
+	};
+}
+
+function _() { var foo = () => { var x } }
+function _() {
+	var foo = () => {
+		var e;
+	};
+}
+
+function _() { class Foo { foo() { var x } } }
+function _() {
+	class Foo {
+		foo() {
+			var e;
+		}
+	}
+}
+
+function _() { var Foo = class { foo() { var x } } }
+function _() {
+	var Foo = class {
+		foo() {
+			var e;
+		}
+	};
+}
diff --git a/napi/minify/index.d.ts b/napi/minify/index.d.ts
index 8daf831a49737..b3764cd385d4f 100644
--- a/napi/minify/index.d.ts
+++ b/napi/minify/index.d.ts
@@ -65,10 +65,27 @@ export interface MangleOptions {
    * @default false
    */
   toplevel?: boolean
+  /** Keep function / class names */
+  keepNames?: MangleOptionsKeepNames
   /** Debug mangled names. */
   debug?: boolean
 }
 
+export interface MangleOptionsKeepNames {
+  /**
+   * Keep function names so that `Function.prototype.name` is preserved.
+   *
+   * @default false
+   */
+  function: boolean
+  /**
+   * Keep class names so that `Class.prototype.name` is preserved.
+   *
+   * @default false
+   */
+  class: boolean
+}
+
 /** Minify synchronously. */
 export declare function minify(filename: string, sourceText: string, options?: MinifyOptions | undefined | null): MinifyResult
 
diff --git a/napi/minify/src/options.rs b/napi/minify/src/options.rs
index ff2ddb3fe753f..feff6996495fa 100644
--- a/napi/minify/src/options.rs
+++ b/napi/minify/src/options.rs
@@ -92,6 +92,9 @@ pub struct MangleOptions {
     /// @default false
     pub toplevel: Option<bool>,
 
+    /// Keep function / class names
+    pub keep_names: Option<MangleOptionsKeepNames>,
+
     /// Debug mangled names.
     pub debug: Option<bool>,
 }
@@ -101,11 +104,31 @@ impl From<&MangleOptions> for oxc_minifier::MangleOptions {
         let default = oxc_minifier::MangleOptions::default();
         Self {
             top_level: o.toplevel.unwrap_or(default.top_level),
+            keep_names: o.keep_names.as_ref().map(Into::into).unwrap_or_default(),
             debug: o.debug.unwrap_or(default.debug),
         }
     }
 }
 
+#[napi(object)]
+pub struct MangleOptionsKeepNames {
+    /// Keep function names so that `Function.prototype.name` is preserved.
+    ///
+    /// @default false
+    pub function: bool,
+
+    /// Keep class names so that `Class.prototype.name` is preserved.
+    ///
+    /// @default false
+    pub class: bool,
+}
+
+impl From<&MangleOptionsKeepNames> for oxc_minifier::MangleOptionsKeepNames {
+    fn from(o: &MangleOptionsKeepNames) -> Self {
+        oxc_minifier::MangleOptionsKeepNames { function: o.function, class: o.class }
+    }
+}
+
 #[napi(object)]
 pub struct CodegenOptions {
     /// Remove whitespace.