Short answer
Move it to the Trash.
Long answer
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If LaunchBar is currently running, quit it.
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Delete the LaunchBar application file (wherever you’ve installed it, usually in your Applications folder).
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Optionally, delete the preferences file, which is located at
~/Library/Preferences/at.obdev.LaunchBar.plist(the ~ tilde sign refers to your home folder). -
Optionally, delete LaunchBar’s application support folder (containing the configuration and other LaunchBar related files). This folder is located at
~/Library/Application Support/LaunchBar -
Optionally, delete LaunchBar’s cache folder which is located at
~/Library/Caches/at.obdev.LaunchBar -
If you have added LaunchBar to your “Login Items” in System Preferences in order to get it started automatically at login, you may wish to remove this entry as well.
BTW, it would help us to improve our product, if you could tell us why you decided not to use it anymore. Thanks in advance!