City were 2-0 up within the opening 15 minutes, Nigel de Jong powering home his first goal for the club and then Pablo Zabaleta guiding a shot on target beyond Robert Green which Lars Jacobsen inadvertently blasted into the net as he attempted to kick the ball away.
The Hammers hit back in the 33rd minute through Demba Ba, but it was the hosts who looked more likely to score another after the break and deservedly made off with all three points.
The result means City consolidate their top four spot in the Barclays Premier League, moving seven points clear of fifth-placed Liverpool.
West Ham, meanwhile, are still bottom of table, three points adrift of safety with three games left to play.
Source: PA
Source: PA