diff --git a/src/request.ts b/src/request.ts
index 4f2284f..74565af 100644
--- a/src/request.ts
+++ b/src/request.ts
@@ -2,7 +2,7 @@
 // Define prototype for lightweight pseudo Request object
 
 import type { IncomingMessage } from 'node:http'
-import type { Http2ServerRequest } from 'node:http2'
+import { Http2ServerRequest } from 'node:http2'
 import { Readable } from 'node:stream'
 
 const newRequestFromIncoming = (
@@ -11,9 +11,12 @@ const newRequestFromIncoming = (
   incoming: IncomingMessage | Http2ServerRequest
 ): Request => {
   const headerRecord: [string, string][] = []
-  const len = incoming.rawHeaders.length
-  for (let i = 0; i < len; i += 2) {
-    headerRecord.push([incoming.rawHeaders[i], incoming.rawHeaders[i + 1]])
+  const rawHeaders = incoming.rawHeaders
+  for (let i = 0; i < rawHeaders.length; i += 2) {
+    const { [i]: key, [i + 1]: value } = rawHeaders
+    if (key.charCodeAt(0) !== /*:*/ 0x3a) {
+      headerRecord.push([key, value])
+    }
   }
 
   const init = {
@@ -34,6 +37,7 @@ const newRequestFromIncoming = (
 const getRequestCache = Symbol('getRequestCache')
 const requestCache = Symbol('requestCache')
 const incomingKey = Symbol('incomingKey')
+const urlKey = Symbol('urlKey')
 
 const requestPrototype: Record<string | symbol, any> = {
   get method() {
@@ -41,12 +45,15 @@ const requestPrototype: Record<string | symbol, any> = {
   },
 
   get url() {
-    const url = `http://${this[incomingKey].headers.host}${this[incomingKey].url}`
-    return /\.\./.test(url) ? new URL(url).href : url
+    return this[urlKey]
   },
 
   [getRequestCache]() {
-    return (this[requestCache] ||= newRequestFromIncoming(this.method, this.url, this[incomingKey]))
+    return (this[requestCache] ||= newRequestFromIncoming(
+      this.method,
+      this[urlKey],
+      this[incomingKey]
+    ))
   },
 }
 ;[
@@ -81,5 +88,10 @@ Object.setPrototypeOf(requestPrototype, global.Request.prototype)
 export const newRequest = (incoming: IncomingMessage | Http2ServerRequest) => {
   const req = Object.create(requestPrototype)
   req[incomingKey] = incoming
+  req[urlKey] = new URL(
+    `http://${incoming instanceof Http2ServerRequest ? incoming.authority : incoming.headers.host}${
+      incoming.url
+    }`
+  ).href
   return req
 }
diff --git a/test/server.test.ts b/test/server.test.ts
index dcfd4ef..a7a111c 100644
--- a/test/server.test.ts
+++ b/test/server.test.ts
@@ -462,6 +462,12 @@ describe('SSL', () => {
 describe('HTTP2', () => {
   const app = new Hono()
   app.get('/', (c) => c.text('Hello! Node!'))
+  app.get('/headers', (c) => { 
+    // call newRequestFromIncoming
+    c.req.header('Accept')
+    return c.text('Hello! Node!') 
+  })
+  app.get('/url', (c) => c.text(c.req.url))
 
   const server = createAdaptorServer({
     fetch: app.fetch,
@@ -475,6 +481,23 @@ describe('HTTP2', () => {
     expect(res.headers['content-type']).toMatch(/text\/plain/)
     expect(res.text).toBe('Hello! Node!')
   })
+
+  it('Should return 200 response - GET /headers', async () => {
+    // @ts-expect-error: @types/supertest is not updated yet
+    const res = await request(server, { http2: true }).get('/headers').trustLocalhost()
+    expect(res.status).toBe(200)
+    expect(res.headers['content-type']).toMatch(/text\/plain/)
+    expect(res.text).toBe('Hello! Node!')
+  })
+
+  // Use :authority as the host for the url.
+  it('Should return 200 response - GET /url', async () => {
+    // @ts-expect-error: @types/supertest is not updated yet
+    const res = await request(server, { http2: true }).get('/url').trustLocalhost()
+    expect(res.status).toBe(200)
+    expect(res.headers['content-type']).toMatch(/text\/plain/)
+    expect(new URL(res.text).hostname).toBe('127.0.0.1')
+  })
 })
 
 describe('Hono compression', () => {