diff --git a/src/CompositeStream.php b/src/CompositeStream.php
index b2f88b0..1446900 100644
--- a/src/CompositeStream.php
+++ b/src/CompositeStream.php
@@ -9,14 +9,15 @@ class CompositeStream extends EventEmitter implements DuplexStreamInterface
     protected $readable;
     protected $writable;
     protected $pipeSource;
+    protected $closed = false;
 
     public function __construct(ReadableStreamInterface $readable, WritableStreamInterface $writable)
     {
         $this->readable = $readable;
         $this->writable = $writable;
 
-        Util::forwardEvents($this->readable, $this, array('data', 'end', 'error', 'close'));
-        Util::forwardEvents($this->writable, $this, array('drain', 'error', 'close', 'pipe'));
+        Util::forwardEvents($this->readable, $this, array('data', 'end', 'error'));
+        Util::forwardEvents($this->writable, $this, array('drain', 'error', 'pipe'));
 
         $this->readable->on('close', array($this, 'close'));
         $this->writable->on('close', array($this, 'close'));
@@ -76,9 +77,16 @@ public function end($data = null)
 
     public function close()
     {
+        if ($this->closed) {
+            return;
+        }
+
+        $this->closed = true;
         $this->pipeSource = null;
 
         $this->readable->close();
         $this->writable->close();
+
+        $this->emit('close');
     }
 }
diff --git a/tests/CompositeStreamTest.php b/tests/CompositeStreamTest.php
index 975a788..2c1eacd 100644
--- a/tests/CompositeStreamTest.php
+++ b/tests/CompositeStreamTest.php
@@ -80,6 +80,19 @@ public function closeShouldCloseBothStreams()
         $composite->close();
     }
 
+    /** @test */
+    public function itShouldForwardCloseOnlyOnce()
+    {
+        $readable = new ReadableStream();
+        $writable = new WritableStream();
+
+        $composite = new CompositeStream($readable, $writable);
+        $composite->on('close', $this->expectCallableOnce());
+
+        $readable->close();
+        $writable->close();
+    }
+
     /** @test */
     public function itShouldReceiveForwardedEvents()
     {
diff --git a/tests/ThroughStreamTest.php b/tests/ThroughStreamTest.php
index 64fe109..acc964c 100644
--- a/tests/ThroughStreamTest.php
+++ b/tests/ThroughStreamTest.php
@@ -95,9 +95,12 @@ public function resumeShouldDelegateToPipeSource()
     }
 
     /** @test */
-    public function closeShouldClose()
+    public function closeShouldCloseOnce()
     {
         $through = new ThroughStream();
+
+        $through->on('close', $this->expectCallableOnce());
+
         $through->close();
 
         $this->assertFalse($through->isReadable());
@@ -105,9 +108,12 @@ public function closeShouldClose()
     }
 
     /** @test */
-    public function doubleCloseShouldWork()
+    public function doubleCloseShouldCloseOnce()
     {
         $through = new ThroughStream();
+
+        $through->on('close', $this->expectCallableOnce());
+
         $through->close();
         $through->close();