Stoke won away for the first time in the Premier League to boost their survival chances but severely dent the hopes of rock-bottom West Brom.
Ricardo Fuller capitalised on an error from Shelton Martis and a poor attempt at a save from Scott Carson to give Stoke an early lead from 20 yards.
Carson superbly denied Glenn Whelan, but after the break could not stop James Beattie's left-foot strike.
