My advice usually is to get another kitten,kittens should always come in pairs
Too often people believe a little kitten will become a cuddly little lap-friend right off the bat,they usually are,but are babies after all.
Kittens/Puppies don't know,they don't viciously attack,anything that moves is fair game of play.
It's up to us to try to stop it,to be honest I've never really tried,I've always had more than one cat and usually the grown cats will discipline the kitten
Whatever you do,please do not hit him,it will only make the situation worse.