First of all, facebook does not support animated gifs(moving pictures) as profile picture or in album. But there are some applications in facebook that provides this functionality. One such example is the 'Animated Picture'
This application provides links to animated gif pictures. If you post this link in your wall, or your friend's wall, then you will see animated picture. But note that, you cannot download the animated gif and upload it again. In that case, only the first image of the gif sequence
BY HaRis
