West Ham, who climb to 13th place in the table, were given a dream start by Behrami who combined with Guillermo Franco to fire past Boaz Myhill in the second minute.

Myhill then kept West Ham at bay until the 59th minute when Cole got on the end of Faubert’s pass to slide an angled drive under Myhill to make it two.

Hull had Craig Fagan sent off for two bookable offences and captain Anthony Gardner stretchered off with an ankle injury after City had used up all three of their substitutes.

Faubert made it three in the final minute with a rising angled drive to give West Ham back-to-back wins for the first time in the league since March 2009.

West Ham almost scored in the opening minute but Alessandro Diamanti’s free-kick was saved at the near post by Myhill.

But the home side went ahead against their fellow strugglers a minute later when Behrami combined with Franco before firing past Myhill for his first goal of the season.

West Ham were in complete control and Cole should have done better with a 20-yard volley that was closer to the corner flag than Myhill’s goal.

Referee Martin Atkinson had a long chat with both Paul McShane and Franco after the Hull defender complained he was victim of an elbow from the West Ham striker.

In the 21st minute, Diamanti was wide of the target with a close-range volley and seconds later he watched his 25-yard shot fly high over the crossbar.

Hull had Myhill to thank in the 23rd minute when Andy Dawson lost possession to Behrami but the Hull goalkeeper punched his fierce volley to safety.

It was the home side’s best moment since they opened the scoring. Hull were poor and becoming more frustrated every minute. In the 24th minute, Fagan was booked for a clumsy foul on Scott Parker.

Myhill pulled off another sensational save in the 27th minute when Diamanti’s cross was met by Behrami at the far post.

Behrami’s header looked goalbound until Myhill somehow managed to turn the ball away on the line.

Hull’s only response was a poor effort from Tom Cairney who sent a shot well wide of the target from eight yards after McShane found him unmarked with a curling cross.

A poor challenge by Faubert on Stephen Hunt on the left wing allowed Hull a chance to put some pressure on the home goal but they had to settle for a corner when Scott Parker headed the ball to safety.

Hunt’s resultant flag-kick was punched clear by Robert Green and seconds later the England goalkeeper ensured West Ham preserved their lead when he tipped away a rising drive from George Boateng.

Hull’s plight got worse in the 52nd minute when Fagan collected a second yellow card for a foul on Diamanti and was sent-off.

Fagan was furious with the decision by Atkinson but eventually left the pitch.

Parker was then booked for a foul on Zaki as the tempo of the game increased.

But West Ham went 2-0 in front in the 59th minute when Faubert’s through-ball put Cole in the clear and the England international ran on to slot an angled shot under Myhill.

The home side continued to dominate with Behrami a continued threat. He was now on the left flank in place of Franco who was replaced by Ilan.

Franco almost made it three for West Ham with an audacious shot from the half-way line.

The West Ham striker saw Myhill off his line and his shot had to be palmed away for a corner by the Hull keeper.

Hull went down to nine-men with 10 minutes remaining when Anthony Gardner was stretchered off with an ankle injury after an innocent challenge with Mido.

City had already used their substitutes after replacing Hunt, Cairney and Jan Vennegoor of Hesselink with Nick Barmby, Jozy Altidore and Seyi Olofinjana.

It made their task impossible and West Ham made it three in the final minute when Faubert fired beyond Myhill.