Albion lead the Arsenal with goals from Lewis Dunk and Glen Murray.
But the Seagulls could have been further in front as Anthony Knockaert, Pascal Gross and Shane Duffy have all had great chances to increase Brighton’s lead.
Albion have been all over the Gunners at times but the Londoners hit back with a goal from Pierre Emrick Aubameyang.
In first half stoppage time the same player hit the post with Maty Ryan stranded.
Ex-Albion and Arsenal defender Steve Gatting told Brighton and Hove News that he was sitting on the fence.