Some people don't like to see the App icons bounce in their Dock and want to take more control of the look of the Dock. Sometimes there's an option to stop bouncing in the preferences of certain Applications, but very few offer this feature. If you want to disable bouncing for all Apps, all you need to do is a couple simple Terminal commands.
Run Terminal, and type these two commands:
$ defaults write com.apple.dock no-bouncing -bool TRUE
$ killall Dock
Now restart OS X. After it restarts everything, you should not see your icons bounce anymore!
