diff --git a/cmux.go b/cmux.go
index 8040342..5f964b5 100644
--- a/cmux.go
+++ b/cmux.go
@@ -93,6 +93,8 @@ type CMux interface {
 	// Serve starts multiplexing the listener. Serve blocks and perhaps
 	// should be invoked concurrently within a go routine.
 	Serve() error
+	// Closes cmux server and stops accepting any connections on listener
+	Close()
 	// HandleError registers an error handler that handles listener errors.
 	HandleError(ErrorHandler)
 	// sets a timeout for the read of matchers
@@ -111,6 +113,7 @@ type cMux struct {
 	donec       chan struct{}
 	sls         []matchersListener
 	readTimeout time.Duration
+	mu          sync.Mutex
 }
 
 func matchersToMatchWriters(matchers []Matcher) []MatchWriter {
@@ -146,7 +149,7 @@ func (m *cMux) Serve() error {
 	var wg sync.WaitGroup
 
 	defer func() {
-		close(m.donec)
+		m.closeDoneChanLocked()
 		wg.Wait()
 
 		for _, sl := range m.sls {
@@ -161,6 +164,11 @@ func (m *cMux) Serve() error {
 	for {
 		c, err := m.root.Accept()
 		if err != nil {
+			select {
+			case <-m.getDoneChan():
+				// cmux was closed with cmux.Close()
+				return nil
+			}
 			if !m.handleErr(err) {
 				return err
 			}
@@ -189,7 +197,7 @@ func (m *cMux) serve(c net.Conn, donec <-chan struct{}, wg *sync.WaitGroup) {
 				}
 				select {
 				case sl.l.connc <- muc:
-				case <-donec:
+				case <-m.getDoneChan():
 					_ = c.Close()
 				}
 				return
@@ -204,6 +212,35 @@ func (m *cMux) serve(c net.Conn, donec <-chan struct{}, wg *sync.WaitGroup) {
 	}
 }
 
+func (m *cMux) Close() {
+	m.mu.Lock()
+	defer m.mu.Unlock()
+	m.closeDoneChanLocked()
+}
+
+func (m *cMux) getDoneChan() chan struct{} {
+	m.mu.Lock()
+	defer m.mu.Unlock()
+	return m.getDoneChanLocked()
+}
+
+func (m *cMux) getDoneChanLocked() chan struct{} {
+	if m.donec == nil {
+		m.donec = make(chan struct{})
+	}
+	return m.donec
+}
+
+func (m *cMux) closeDoneChanLocked() {
+	ch := m.getDoneChanLocked()
+	select {
+	case <-ch:
+		// Already closed. Don't close again
+	default:
+		close(ch)
+	}
+}
+
 func (m *cMux) HandleError(h ErrorHandler) {
 	m.errh = h
 }