diff --git a/lib/internal/streams/duplexpair.js b/lib/internal/streams/duplexpair.js
index a32084c4d4cbdf..daeacc4ac9c42d 100644
--- a/lib/internal/streams/duplexpair.js
+++ b/lib/internal/streams/duplexpair.js
@@ -50,6 +50,19 @@ class DuplexSide extends Duplex {
     this.#otherSide.on('end', callback);
     this.#otherSide.push(null);
   }
+
+
+  _destroy(err, callback) {
+    if (err) {
+      // Error case: tell the other side to also destroy with that error.
+      this.#otherSide.destroy(err);
+    } else if (this.#otherSide && !this.#otherSide.destroyed) {
+      // Graceful close case (destroy() without error):
+      // send an EOF to the other side's readable end if it hasn't already closed.
+      this.#otherSide.push(null);
+    }
+    callback(err);
+  }
 }
 
 function duplexPair(options) {
@@ -57,6 +70,6 @@ function duplexPair(options) {
   const side1 = new DuplexSide(options);
   side0[kInitOtherSide](side1);
   side1[kInitOtherSide](side0);
-  return [ side0, side1 ];
+  return [side0, side1];
 }
 module.exports = duplexPair;
diff --git a/test/parallel/test-duplex-error.js b/test/parallel/test-duplex-error.js
new file mode 100644
index 00000000000000..bdc2912f38bc0e
--- /dev/null
+++ b/test/parallel/test-duplex-error.js
@@ -0,0 +1,30 @@
+'use strict';
+
+const common = require('../common');
+const assert = require('assert');
+const { duplexPair } = require('stream');
+
+const [sideA, sideB] = duplexPair();
+
+let sideAErrorReceived = false;
+let sideBErrorReceived = false;
+
+// Use common.mustCall inside the listeners to ensure they trigger
+sideA.on('error', common.mustCall((err) => {
+  sideAErrorReceived = true;
+}));
+
+sideB.on('error', common.mustCall((err) => {
+  sideBErrorReceived = true;
+}));
+
+sideA.resume();
+sideB.resume();
+
+sideB.destroy(new Error('Simulated error'));
+
+// Wrap the callback in common.mustCall()
+setImmediate(common.mustCall(() => {
+  assert.strictEqual(sideAErrorReceived, true);
+  assert.strictEqual(sideBErrorReceived, true);
+}));