Open application after clicking on Notification

See below code. I am using that and it is opening my HomeActivity.

    NotificationManager notificationManager = (NotificationManager) context
            .getSystemService(Context.NOTIFICATION_SERVICE);
    Notification notification = new Notification(icon, message, when);

    Intent notificationIntent = new Intent(context, HomeActivity.class);

    notificationIntent.setFlags(Intent.FLAG_ACTIVITY_CLEAR_TOP
            | Intent.FLAG_ACTIVITY_SINGLE_TOP);

    PendingIntent intent = PendingIntent.getActivity(context, 0,
            notificationIntent, 0);

    notification.setLatestEventInfo(context, title, message, intent);
    notification.flags |= Notification.FLAG_AUTO_CANCEL;
    notificationManager.notify(0, notification);

Here's example using NotificationCompact.Builder class which is the recent version to build notification.

private void startNotification() {
    Log.i("NextActivity", "startNotification");

 // Sets an ID for the notification
      int mNotificationId = 001;

    // Build Notification , setOngoing keeps the notification always in status bar
    NotificationCompat.Builder mBuilder =
            new NotificationCompat.Builder(this)
                    .setSmallIcon(R.drawable.ldb)
                    .setContentTitle("Stop LDB")
                    .setContentText("Click to stop LDB")
                    .setOngoing(true);

    // Create pending intent, mention the Activity which needs to be 
    //triggered when user clicks on notification(StopScript.class in this case)

    PendingIntent contentIntent = PendingIntent.getActivity(this, 0,
            new Intent(this, StopScript.class), PendingIntent.FLAG_UPDATE_CURRENT);


    mBuilder.setContentIntent(contentIntent);


    // Gets an instance of the NotificationManager service
   NotificationManager mNotificationManager =
            (NotificationManager) this.getSystemService(Context.NOTIFICATION_SERVICE);


    // Builds the notification and issues it.
    mNotificationManager.notify(mNotificationId, mBuilder.build());


}

Looks like you missed this part,

notification.contentIntent = pendingIntent;

Try adding this and it should work.

Please use below code for complete example of simple notification, in this code you can open application after clicking on Notification, it will solve your problem.

public class AndroidNotifications extends Activity {
    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.main);

        Button notificationButton = (Button) findViewById(R.id.notificationButton);

        notificationButton.setOnClickListener(new View.OnClickListener() {
            public void onClick(View v) {
                Timer timer = new Timer();
                timer.schedule(new TimerTask() {
                    @Override
                    public void run() {
                        // Notification Title and Message
                        Notification("Dipak Keshariya (Android Developer)",
                                "This is Message from Dipak Keshariya (Android Developer)");
                    }
                }, 0);
            }
        });
    }

    // Notification Function
    private void Notification(String notificationTitle,
            String notificationMessage) {
        NotificationManager notificationManager = (NotificationManager) getSystemService(NOTIFICATION_SERVICE);
        android.app.Notification notification = new android.app.Notification(
                R.drawable.ic_launcher, "Message from Dipak Keshariya! (Android Developer)",
                System.currentTimeMillis());

        Intent notificationIntent = new Intent(this, AndroidNotifications.class);
        PendingIntent pendingIntent = PendingIntent.getActivity(this, 0,
                notificationIntent, 0);

        notification.setLatestEventInfo(AndroidNotifications.this,
                notificationTitle, notificationMessage, pendingIntent);
        notificationManager.notify(10001, notification);
    }
}

And see below link for more information.

Simple Notification Example

Use below code for create notification for open activity. It works for me. For full code

 Intent myIntent = new Intent(context, DoSomething.class);
 PendingIntent pendingIntent = PendingIntent.getActivity(
        context, 
        0, 
        myIntent, 
        Intent.FLAG_ACTIVITY_NEW_TASK);

 myNotification = new NotificationCompat.Builder(context)
   .setContentTitle("Exercise of Notification!")
   .setContentText("Do Something...")
   .setTicker("Notification!")
   .setWhen(System.currentTimeMillis())
   .setContentIntent(pendingIntent)
   .setDefaults(Notification.DEFAULT_SOUND)
   .setAutoCancel(true)
   .setSmallIcon(R.drawable.ic_launcher)
   .build();

 notificationManager = 
   (NotificationManager)context.getSystemService(Context.NOTIFICATION_SERVICE);
 notificationManager.notify(MY_NOTIFICATION_ID, myNotification);