diff --git a/cli/tests/unit/structured_clone_test.ts b/cli/tests/unit/structured_clone_test.ts
index f252761658..fdad0dba76 100644
--- a/cli/tests/unit/structured_clone_test.ts
+++ b/cli/tests/unit/structured_clone_test.ts
@@ -1,4 +1,4 @@
-import { assert, assertEquals } from "./test_util.ts";
+import { assert, assertEquals, assertThrows } from "./test_util.ts";
 
 // Basic tests for the structured clone algorithm. Mainly tests TypeScript
 // typings. Actual functionality is tested in WPT.
@@ -17,3 +17,14 @@ Deno.test("self.structuredClone", async () => {
   channelOriginal.port1.close();
   portTransferred.close();
 });
+
+Deno.test("correct DataCloneError message", () => {
+  assertThrows(
+    () => {
+      const sab = new SharedArrayBuffer(1024);
+      structuredClone(sab, { transfer: [sab] });
+    },
+    DOMException,
+    "Value not transferable",
+  );
+});
diff --git a/core/bindings.rs b/core/bindings.rs
index 4e5c68675a..2ab55187d7 100644
--- a/core/bindings.rs
+++ b/core/bindings.rs
@@ -898,7 +898,7 @@ impl<'a> v8::ValueSerializerImpl for SerializeDeserialize<'a> {
     scope: &mut v8::HandleScope<'s>,
     message: v8::Local<'s, v8::String>,
   ) {
-    let error = v8::Exception::error(scope, message);
+    let error = v8::Exception::type_error(scope, message);
     scope.throw_exception(error);
   }
 
@@ -1101,15 +1101,25 @@ fn serialize(
     }
   }
 
-  match value_serializer.write_value(scope.get_current_context(), value) {
-    Some(true) => {
+  let must_throw = {
+    let scope = &mut v8::TryCatch::new(scope);
+    let ret = value_serializer.write_value(scope.get_current_context(), value);
+    if scope.has_caught() || scope.has_terminated() {
+      scope.rethrow();
+      false
+    } else if let Some(true) = ret {
       let vector = value_serializer.release();
       let zbuf: ZeroCopyBuf = vector.into();
       rv.set(to_v8(scope, zbuf).unwrap());
+      false
+    } else {
+      // We throw the TypeError outside of the v8::TryCatch scope.
+      true
     }
-    _ => {
-      throw_type_error(scope, "Failed to serialize response");
-    }
+  };
+
+  if must_throw {
+    throw_type_error(scope, "Failed to serialize response");
   }
 }
 
diff --git a/ext/web/02_structured_clone.js b/ext/web/02_structured_clone.js
index 058390cfee..62bb48ebd4 100644
--- a/ext/web/02_structured_clone.js
+++ b/ext/web/02_structured_clone.js
@@ -77,7 +77,7 @@
       return core.deserialize(core.serialize(value));
     } catch (e) {
       if (ObjectPrototypeIsPrototypeOf(TypeErrorPrototype, e)) {
-        throw new DOMException("Uncloneable value", "DataCloneError");
+        throw new DOMException(e.message, "DataCloneError");
       }
       throw e;
     }