diff --git a/packages/event-handler/src/http/errors.ts b/packages/event-handler/src/http/errors.ts
index a735b4d806..d241464de5 100644
--- a/packages/event-handler/src/http/errors.ts
+++ b/packages/event-handler/src/http/errors.ts
@@ -228,7 +228,7 @@ class InvalidEventError extends Error {
 class InvalidHttpMethodError extends Error {
   constructor(method: string) {
     super(`HTTP method ${method} is not supported.`);
-    this.name = 'InvalidEventError';
+    this.name = 'InvalidHttpMethodError';
   }
 }
 
diff --git a/packages/event-handler/tests/unit/http/converters.test.ts b/packages/event-handler/tests/unit/http/converters.test.ts
index cf673e5e41..4ec64b5a29 100644
--- a/packages/event-handler/tests/unit/http/converters.test.ts
+++ b/packages/event-handler/tests/unit/http/converters.test.ts
@@ -8,6 +8,7 @@ import {
   bodyToNodeStream,
   webHeadersToApiGatewayHeaders,
 } from '../../../src/http/converters.js';
+import { InvalidHttpMethodError } from '../../../src/http/errors.js';
 import {
   HttpStatusCodes,
   handlerResultToWebResponse,
@@ -773,6 +774,43 @@ describe('Converters', () => {
     });
   });
 
+  describe('proxyEventToWebRequest (unsupported HTTP method)', () => {
+    it.each([
+      {
+        version: 'V1',
+        createEvent: () => createTestEvent('/test', 'CONNECT'),
+      },
+      {
+        version: 'V2',
+        createEvent: () => createTestEventV2('/test', 'CONNECT'),
+      },
+      {
+        version: 'ALB',
+        createEvent: () => createTestALBEvent('/test', 'CONNECT'),
+      },
+    ])('throws InvalidHttpMethodError with the correct name for $version events', ({
+      createEvent,
+    }) => {
+      // Prepare
+      const event = createEvent();
+
+      // Act & Assess
+      expect(() => proxyEventToWebRequest(event)).toThrow(
+        InvalidHttpMethodError
+      );
+
+      try {
+        proxyEventToWebRequest(event);
+      } catch (err) {
+        expect(err).toBeInstanceOf(InvalidHttpMethodError);
+        expect((err as Error).name).toBe('InvalidHttpMethodError');
+        expect((err as Error).message).toBe(
+          'HTTP method CONNECT is not supported.'
+        );
+      }
+    });
+  });
+
   describe('responseToProxyResult', () => {
     it('converts basic Response to API Gateway result', async () => {
       // Prepare
diff --git a/packages/event-handler/tests/unit/http/errors.test.ts b/packages/event-handler/tests/unit/http/errors.test.ts
index 63e32d9708..293bc0e83f 100644
--- a/packages/event-handler/tests/unit/http/errors.test.ts
+++ b/packages/event-handler/tests/unit/http/errors.test.ts
@@ -1,4 +1,8 @@
 import { describe, expect, it } from 'vitest';
+import {
+  InvalidEventError,
+  InvalidHttpMethodError,
+} from '../../../src/http/errors.js';
 import {
   BadRequestError,
   ForbiddenError,
@@ -80,6 +84,7 @@ describe('HTTP Error Classes', () => {
     expect(error.message).toBe(customMessage);
     expect(error.statusCode).toBe(statusCode);
     expect(error.errorType).toBe(errorType);
+    expect(error.name).toBe(errorType);
   });
 
   describe('toJSON', () => {
@@ -379,6 +384,26 @@ describe('HTTP Error Classes', () => {
     });
   });
 
+  describe('Invalid* errors (non-HttpError subclasses)', () => {
+    it('InvalidEventError carries its own name and message', () => {
+      const error = new InvalidEventError('bad event');
+
+      expect(error).toBeInstanceOf(Error);
+      expect(error).toBeInstanceOf(InvalidEventError);
+      expect(error.name).toBe('InvalidEventError');
+      expect(error.message).toBe('bad event');
+    });
+
+    it('InvalidHttpMethodError carries its own name and a method-aware message', () => {
+      const error = new InvalidHttpMethodError('CONNECT');
+
+      expect(error).toBeInstanceOf(Error);
+      expect(error).toBeInstanceOf(InvalidHttpMethodError);
+      expect(error.name).toBe('InvalidHttpMethodError');
+      expect(error.message).toBe('HTTP method CONNECT is not supported.');
+    });
+  });
+
   describe('ResponseValidationError', () => {
     it('creates error with correct statusCode', () => {
       const error = new ResponseValidationError(