WIN8 can specify notification of some applications in the presence of a screen lock, and other program notifications that are not specified can be displayed only when unlocked.
First make sure the system notifies you on. Open Charm (Super button), select "Settings", select "Change computer Settings" in the lower-right corner, and select "Notify".
Ensure that the apply notification is turned on and the screen lock notification is turned on. Applications that need to display notifications in a lock-screen state are also guaranteed to be in an open state.
Back to the personalization interface,
In the Lock screen application, click the "+" sign to add the program. The notification can be displayed in the lock screen state.
To not display the notification, select the applicable icon and click "Do not show fast status here."