diff --git a/std/http/_io.ts b/std/http/_io.ts
index 1b6383acc1..b7efaf8e53 100644
--- a/std/http/_io.ts
+++ b/std/http/_io.ts
@@ -69,7 +69,7 @@ export function chunkedBodyReader(h: Headers, r: BufReader): Deno.Reader {
     const [chunkSizeString] = line.split(";");
     const chunkSize = parseInt(chunkSizeString, 16);
     if (Number.isNaN(chunkSize) || chunkSize < 0) {
-      throw new Error("Invalid chunk size");
+      throw new Deno.errors.InvalidData("Invalid chunk size");
     }
     if (chunkSize > 0) {
       if (chunkSize > buf.byteLength) {
diff --git a/std/http/server.ts b/std/http/server.ts
index 7bbdb78298..4d9f707230 100644
--- a/std/http/server.ts
+++ b/std/http/server.ts
@@ -151,10 +151,15 @@ export class Server implements AsyncIterable<ServerRequest> {
           error instanceof Deno.errors.UnexpectedEof
         ) {
           // An error was thrown while parsing request headers.
-          await writeResponse(writer, {
-            status: 400,
-            body: encode(`${error.message}\r\n\r\n`),
-          });
+          // Try to send the "400 Bad Request" before closing the connection.
+          try {
+            await writeResponse(writer, {
+              status: 400,
+              body: encode(`${error.message}\r\n\r\n`),
+            });
+          } catch (error) {
+            // The connection is broken.
+          }
         }
         break;
       }
@@ -175,8 +180,14 @@ export class Server implements AsyncIterable<ServerRequest> {
         this.untrackConnection(request.conn);
         return;
       }
-      // Consume unread body and trailers if receiver didn't consume those data
-      await request.finalize();
+
+      try {
+        // Consume unread body and trailers if receiver didn't consume those data
+        await request.finalize();
+      } catch (error) {
+        // Invalid data was received or the connection was closed.
+        break;
+      }
     }
 
     this.untrackConnection(conn);
@@ -212,9 +223,12 @@ export class Server implements AsyncIterable<ServerRequest> {
       conn = await this.listener.accept();
     } catch (error) {
       if (
+        // The listener is closed:
         error instanceof Deno.errors.BadResource ||
+        // TLS handshake errors:
         error instanceof Deno.errors.InvalidData ||
-        error instanceof Deno.errors.UnexpectedEof
+        error instanceof Deno.errors.UnexpectedEof ||
+        error instanceof Deno.errors.ConnectionReset
       ) {
         return mux.add(this.acceptConnAndIterateHttpRequests(mux));
       }
diff --git a/std/http/server_test.ts b/std/http/server_test.ts
index f26dc63cd2..e7a1c42dce 100644
--- a/std/http/server_test.ts
+++ b/std/http/server_test.ts
@@ -564,6 +564,118 @@ Deno.test({
   },
 });
 
+Deno.test({
+  name: "[http] finalizing invalid chunked data closes connection",
+  async fn(): Promise<void> {
+    const serverRoutine = async (): Promise<void> => {
+      const server = serve(":8124");
+      for await (const req of server) {
+        await req.respond({ status: 200, body: "Hello, world!" });
+        break;
+      }
+      server.close();
+    };
+    const p = serverRoutine();
+    const conn = await Deno.connect({
+      hostname: "127.0.0.1",
+      port: 8124,
+    });
+    await Deno.writeAll(
+      conn,
+      encode(
+        "PUT / HTTP/1.1\r\nTransfer-Encoding: chunked\r\n\r\nzzzzzzz\r\nhello",
+      ),
+    );
+    await conn.closeWrite();
+    const responseString = decode(await Deno.readAll(conn));
+    assertEquals(
+      responseString,
+      "HTTP/1.1 200 OK\r\ncontent-length: 13\r\n\r\nHello, world!",
+    );
+    conn.close();
+    await p;
+  },
+});
+
+Deno.test({
+  name: "[http] finalizing chunked unexpected EOF closes connection",
+  async fn(): Promise<void> {
+    const serverRoutine = async (): Promise<void> => {
+      const server = serve(":8124");
+      for await (const req of server) {
+        await req.respond({ status: 200, body: "Hello, world!" });
+        break;
+      }
+      server.close();
+    };
+    const p = serverRoutine();
+    const conn = await Deno.connect({
+      hostname: "127.0.0.1",
+      port: 8124,
+    });
+    await Deno.writeAll(
+      conn,
+      encode("PUT / HTTP/1.1\r\nTransfer-Encoding: chunked\r\n\r\n5\r\nHello"),
+    );
+    conn.closeWrite();
+    const responseString = decode(await Deno.readAll(conn));
+    assertEquals(
+      responseString,
+      "HTTP/1.1 200 OK\r\ncontent-length: 13\r\n\r\nHello, world!",
+    );
+    conn.close();
+    await p;
+  },
+});
+
+Deno.test({
+  name:
+    "[http] receiving bad request from a closed connection should not throw",
+  async fn(): Promise<void> {
+    const server = serve(":8124");
+    const serverRoutine = async (): Promise<void> => {
+      for await (const req of server) {
+        await req.respond({ status: 200, body: "Hello, world!" });
+      }
+    };
+    const p = serverRoutine();
+    const conn = await Deno.connect({
+      hostname: "127.0.0.1",
+      port: 8124,
+    });
+    await Deno.writeAll(
+      conn,
+      encode([
+        // A normal request is required:
+        "GET / HTTP/1.1",
+        "Host: localhost",
+        "",
+        // The bad request:
+        "GET / HTTP/1.1",
+        "Host: localhost",
+        "INVALID!HEADER!",
+        "",
+        "",
+      ].join("\r\n")),
+    );
+    // After sending the two requests, don't receive the reponses.
+
+    // Closing the connection now.
+    conn.close();
+
+    // The server will write responses to the closed connection,
+    // the first few `write()` calls will not throws, until the server received
+    // the TCP RST. So we need the normal request before the bad request to
+    // make the server do a few writes before it writes that `400` response.
+
+    // Wait for server to handle requests.
+    await delay(10);
+
+    server.close();
+    await p;
+  },
+});
+
 Deno.test({
   name: "serveTLS Invalid Cert",
   fn: async (): Promise<void> => {