And Mamady Sidibe tapped home the second from a Matthew Etherington cross in first-half stoppage-time.
Luka Modric's angled drive doubled the lead, but Matthew Etherington's superb solo goal narrowed the deficit.
Matthew Etherington was sent off for the visitors for kicking out at Black Cats defender Danny Collins.
The hosts looked set for an eighth league defeat when Matthew Etherington drove Stoke ahead from an acute angle.
But Stoke drew level through Tuncay's header from Matthew Etherington's cross before Mamady Sidibe and James Beattie missed chances to win the game.
Nine minutes after the break Stoke struck back, with defender Faye rising above the static hosts to head in Matthew Etherington's in-swinging corner.
The Hammers offered little in response before the break, apart from Matthew Etherington seeing his effort cleared off the line by Del Horno.
Pulis expressed his annoyance in the aftermath of his side's 2-0 loss at Sunderland in which Matthew Etherington was sent off by referee Rob Styles.
But Arsenal failed to find the net and Matthew Etherington stretched the Hammers' lead after Larsson and Phillipe Senderos were caught in possesion in defence.
At the other end, Matthew Etherington looked the visitors' most potent threat and his cross from the left wing was hooked narrowly over by Jon Walters.
Meanwhile, Potters boss Tony Pulis is hopeful that his influential winger Matthew Etherington will be fit for their next game against Fulham after he limped out of the win.
Following the controversial Hammers equaliser, referee Mike Jones awarded Stoke what seemed like a soft penalty after winger Matthew Etherington went down when challenged by Scott Parker and James Tomkins.
The Hammers conjured a chance when Cole headed wide from a Matthew Etherington corner before Tabb showed him how to do it, nodding in Osbourne's delightful forward ball on 68 minutes.
West Ham threatened in patches, with Matthew Etherington having their best chance of earning a point when he volleyed into the side-netting after strong play down the left side by Cole.
Whitehead went three minutes later for his second booking, but Stoke leveled on 64 as winger Matthew Etherington scored from the penalty spot against his former club after fullback Benoit Assou-Ekotto fouled striker Paul Kitson.
Fuller, who replaced Matthew Etherington on 67 minutes after Tony Pulis had already made two injury-enforced switches, received a long ball outside the area with his back to goal - and there appeared to be little threat for the West Ham defenders.
应用推荐