Chris Brown and Drake SUE EACH OTHER Over Nightclub Fight

Chris Brown and Drake are going after each other in court over their gargantuan brawl last June at W.i.P. nightclub in New York City ... TMZ has learned.

A guy named Romain Julien -- a French model -- filed suit against Brown, Drake and the club for the injuries he claims he suffered during the bottle-throwing fight.

Now both Drake and Brown have filed legal docs -- obtained by TMZ -- in which they point the guilty finger at each other. It's a little technical, but each is asking the judge to pin the blame on the other.

Drake and Brown each claim they were not responsible for the fight and want the other to pay any damages in the event the model wins his suit.

It's the first time Brown and Drake -- both of whom have been linked to Rihanna -- have gone after each other in court.