Sensational Albion lead West Ham by two goals to nil.
Glenn Murray put the Seagulls ahead after 10 minutes.
Last season’s top scorer headed in from a Pascal Gross free kick.
Javier Hernandez has had the Hammers’ best chances but has been kept out by a combination of Lewis Dunk, Shane Duffy and Maty Ryan.
West Ham have had a few corners but Albion have defended well.
Just before half time Davy Propper and Gross combined well to set up Murray again.
But the former England goalkeeper Joe Hart made a good save.
Seconds later Jose Izquierdo picked up a loose ball and fired a superb dipping shot over Hart to put the Albion two nil in front.