Gerard Butler & GF -- All Over Each Other ... At New Orleans Saints Game

Gerard Butler and his girlfriend went to the New Orleans Saints game this weekend ... and they sucked harder than the team did.

The movie star took his GF Morgan Brown to the Superdome to watch the Saints take on the Carolina Panthers -- but it turned in to such a route (Saints lost 41-10) ... that the couple decided to pass the time by making out.

But Gerard wasn't just there to swap spit, the guy also spent time with New Orleans Saints hero Steve Gleason ... who's refusing to let his fight with ALS keep him away from his favorite team.