Android - How to turn off notifications for individual apps?

Update: It is posible to disable notifications of individual apps on system level in Jelly Bean (4.1).

Under each application info screen there is now a checkbox for "show notifications" (assuming the app sends notifications). Uncheck that and no more notifications from that app.

You can get to the screen by going to Settings | Apps | {application} or, more conveniently, long-pressing the notification itself and then tapping "App Info".

More details in this article.

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Notifications are handled on a per-app basis.
The only way to turn them off is inside that particular application's settings.
This menu - unlike on iOS - can he accessed from inside the application. It's usually an option that comes up after pressing your menu button, or if your phone doesn't have one than it's hidden behind the overflow menu ie. The three dots.

In the case of scramble with friends there's a settings icon on the main screen. There's an option to set the polling interval. The default is 5 minutes.

If you are on Jelly Bean and rooted you can use an app I built to manage notifications for all applications from a single place.

Notifications Off allows you to turn off notifications for all applications. It can also automatically disable notifications for new apps as soon as they are installed.

It has support for profiles and tasker integration for switching profiles.

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