diff --git a/HISTORY.md b/HISTORY.md
index 1fd9761..1e233c1 100644
--- a/HISTORY.md
+++ b/HISTORY.md
@@ -1,3 +1,8 @@
+unreleased
+==========
+
+  * Add Zlib steam support and Node.js leak work around
+
 1.0.4 / 2016-01-15
 ==================
 
diff --git a/README.md b/README.md
index da5f8a9..496b529 100644
--- a/README.md
+++ b/README.md
@@ -26,8 +26,12 @@ Destroy the given stream. In most cases, this is identical to a simple
      and add a listener to the `open` event to call `stream.close()` if it is
      fired. This is for a Node.js bug that will leak a file descriptor if
      `.destroy()` is called before `open`.
-  2. If the `stream` is not an instance of `Stream`, then nothing happens.
-  3. If the `stream` has a `.destroy()` method, then call it.
+  2. If the `stream` is an instance of a zlib stream, then call `stream.destroy()`
+     and close the underlying zlib handle if open, otherwise call `stream.close()`.
+     This is for consistency across Node.js versions and a Node.js bug that will
+     leak a native zlib handle.
+  3. If the `stream` is not an instance of `Stream`, then nothing happens.
+  4. If the `stream` has a `.destroy()` method, then call it.
 
 The function returns the `stream` passed in as the argument.
 
diff --git a/index.js b/index.js
index 223e41e..d330ae5 100644
--- a/index.js
+++ b/index.js
@@ -13,6 +13,7 @@
 
 var ReadStream = require('fs').ReadStream
 var Stream = require('stream')
+var Zlib = require('zlib')
 
 /**
  * Module exports.
@@ -33,6 +34,16 @@ function destroy (stream) {
     return destroyReadStream(stream)
   }
 
+  if (stream instanceof Zlib.Gzip ||
+    stream instanceof Zlib.Gunzip ||
+    stream instanceof Zlib.Deflate ||
+    stream instanceof Zlib.DeflateRaw ||
+    stream instanceof Zlib.Inflate ||
+    stream instanceof Zlib.InflateRaw ||
+    stream instanceof Zlib.Unzip) {
+    return destroyZlibStream(stream)
+  }
+
   if (!(stream instanceof Stream)) {
     return stream
   }
@@ -62,6 +73,65 @@ function destroyReadStream (stream) {
   return stream
 }
 
+/**
+ * Destroy a Zlib stream.
+ *
+ * Zlib streams don't have a destroy function in Node.js 6. On top of that
+ * simply calling destroy on a zlib stream in Node.js 8+ will result in a
+ * memory leak. So until that is fixed, we need to call both close AND destroy.
+ *
+ * PR to fix memory leak: https://github.com/nodejs/node/pull/23734
+ *
+ * In Node.js 6+8, it's important that destroy is called before close as the
+ * stream would otherwise emit the error 'zlib binding closed'.
+ *
+ * @param {object} stream
+ * @private
+ */
+
+function destroyZlibStream (stream) {
+  if (typeof stream.destroy === 'function') {
+    // node.js core bug work-around
+    // istanbul ignore if: node.js 0.8
+    if (stream._binding) {
+      // node.js < 0.10.0
+      stream.destroy()
+      if (stream._processing) {
+        stream._needDrain = true
+        stream.once('drain', onDrainClearBinding)
+      } else {
+        stream._binding.clear()
+      }
+    } else if (stream._destroy && stream._destroy !== Stream.Transform.prototype._destroy) {
+      // node.js >= 12, ^11.1.0, ^10.15.1
+      stream.destroy()
+    } else if (stream._destroy && typeof stream.close === 'function') {
+      // node.js 7, 8
+      stream.destroyed = true
+      stream.close()
+    } else {
+      // fallback
+      // istanbul ignore next
+      stream.destroy()
+    }
+  } else if (typeof stream.close === 'function') {
+    // node.js < 8 fallback
+    stream.close()
+  }
+
+  return stream
+}
+
+/**
+ * On drain handler to clear binding.
+ * @private
+ */
+
+// istanbul ignore next: node.js 0.8
+function onDrainClearBinding () {
+  this._binding.clear()
+}
+
 /**
  * On open handler to close stream.
  * @private
diff --git a/test/test.js b/test/test.js
index 569f638..529f504 100644
--- a/test/test.js
+++ b/test/test.js
@@ -2,6 +2,7 @@
 var assert = require('assert')
 var fs = require('fs')
 var net = require('net')
+var zlib = require('zlib')
 
 var destroy = require('..')
 
@@ -72,9 +73,31 @@ describe('destroy', function () {
       })
     })
   })
+
+  ;['Gzip', 'Gunzip', 'Deflate', 'DeflateRaw', 'Inflate', 'InflateRaw', 'Unzip'].forEach(function (type) {
+    var method = 'create' + type
+
+    describe('Zlib.' + type, function () {
+      it('should destroy a zlib stream', function () {
+        var stream = zlib[method]()
+        assert(!isdestroyed(stream))
+        destroy(stream)
+        assert(isdestroyed(stream))
+      })
+
+      it('should destroy a zlib stream after write', function () {
+        var stream = zlib[method]()
+        assert(!isdestroyed(stream))
+        stream.write('')
+        destroy(stream)
+        assert(isdestroyed(stream))
+      })
+    })
+  })
 })
 
 function isdestroyed (stream) {
-  // readable for 0.8, destroyed for 0.10+
-  return stream.readable === false || stream.destroyed === true
+  // readable for 0.8, destroyed for 0.10+, _closed for zlib < 8
+  return stream.readable === false || stream.destroyed === true ||
+    stream._closed === true
 }