West Ham threatened first, Matt Taylor heading over from Carlton Cole's left-wing cross, before the hosts took a grip on the game.
West Brom's excellent start to the season continued on Saturday as they recorded their first away win of the campaign with a 2-1 victory over in-form Wigan in an entertaining Premier League clash.
Scrabble-loving Englishman James Morrison shrugged off a three-hour thunderstorm delay to extend his lead over a field packed with major winners at the Barclays Singapore Open on Friday.
Newly crowned League Cup winners Birmingham were brought down to earth with a bump on Saturday, losing 3-1 to West Bromwich Albion at St Andrews.