Q:

How to pause flash application in browser?

How to pause flash application in browser if there isn't any buttons that would allow it ?

A:

Well, there is a website, there is a swf file, i want to pause it.

Do you have access to these files and their source? Is it on the same domain?
Anyway, the previous two answers suggested wrapping the swf with another Flash application and then setting the framerate to 0. That's not accurate, because the minimum framerate you can set is 0.01. Flash code is built around the framerate, it makes sense. 
http://help.adobe.com/en_US/FlashPlatform/reference/actionscript/3/flash/display/Stage.html#frameRate
If you have access to the original files you want to pause, the proper way to accomplish this would be through ExternalInterface
http://help.adobe.com/en_US/FlashPlatform/reference/actionscript/3/flash/external/ExternalInterface.html
http://www.viget.com/inspire/bi-directional-actionscript-javascript-communication/

