Rickie Lambert's deflected shot earned West Brom a point against a West Ham side who have gone four Premier League games without a win.
The Hammers took the lead when Mauro Zarate curled an exquisite 25-yard free-kick into the top corner.
But the visitors equalised when a Lambert shot was deflected into his own goal by Hammers defender Winston Reid.
Salomon Rondon had a promising chance but his header from six yards was excellently saved by keeper Adrian.
Follow the action from Liverpool v Swansea here
Follow the action from Norwich v Arsenal here
West Ham were the dominant team in the first half and Zarate sliced a shot into the side-netting when well-placed before he put the home side in front with his sumptuous free-kick.
With the Baggies rocking, Cheikhou Kouyate got in between the visitors' two centre-backs but glanced a header wide from Aaron Cresswell's cross.
West Brom keeper Boaz Myhill then had to pull off two smart saves from the lively Manuel Lanzini, keeping out a swerving long range strike and a first-time effort from the Argentine midfielder.
Diafra Sakho also had a clear sight of goal late on at the end of a counter-attack but his effort was blocked by the sliding leg of defender Jonas Olsson, before the Hammers striker limped off injured.
"I was very pleased with the way we played in the first half but I thought we should have been at least two up," said West Ham boss Slaven Bilic.
West Brom improved after the break, with striker Lambert coming on to join fellow forward Rondon in attack.
Lambert made an immediate impact as his shot led to the equaliser, and he caused plenty of problems for the home side.
The former Southampton and Liverpool player also played a lovely ball over the top of the home defence late on only for James McClean - at full stretch - to fail to get enough power on his shot.
"Rick has been a wonderful signing for us. He hasn't played that many games but his attitude and focus is spot on," said West Brom manager Tony Pulis.
"If James had a little bit more composure he could have passed it into the bottom corner."
West Ham manager Slaven Bilic: "Mauro Zarate is practicing these free-kicks and usually when the ball goes over the wall the way he wants it is tough to stop it.
"It's a difficult league and home games are a lot about confidence. Like today, after we scored we were excellent until we conceded."
West Brom boss Tony Pulis: "It was a soft free-kick which led to their goal and we were a bit fortunate to come in only one down at half-time.
"We were better in the second half, there's no doubt about that."
West Ham travel to Old Trafford to play Manchester United in their next league game, while West Brom are next in action when they host Tottenham in the top flight.
Full Time Match ends, West Ham United 1, West Bromwich Albion 1.
90:00 +4:07 Full timeFull Time Second Half ends, West Ham United 1, West Bromwich Albion 1.
90:00 +3:50Attempt saved. Aaron Cresswell (West Ham United) left footed shot from outside the box is saved in the bottom left corner.
90:00 +2:44Manuel Lanzini (West Ham United) wins a free kick in the attacking half.
90:00 +2:44Foul by Claudio Yacob (West Bromwich Albion).
90:00 +0:48Foul by Victor Moses (West Ham United).
90:00 +0:48Craig Dawson (West Bromwich Albion) wins a free kick in the defensive half.
90:00 +0:39Attempt saved. James McClean (West Bromwich Albion) left footed shot from the centre of the box is saved in the centre of the goal. Assisted by Rickie Lambert.
89:23Foul by Victor Moses (West Ham United).
89:23Darren Fletcher (West Bromwich Albion) wins a free kick in the defensive half.
88:36Attempt missed. Victor Moses (West Ham United) left footed shot from the left side of the box is close, but misses to the right. Assisted by Manuel Lanzini.
85:31Cheikhou Kouyaté (West Ham United) wins a free kick in the defensive half.
85:31Foul by James McClean (West Bromwich Albion).
82:24Attempt missed. Nikica Jelavic (West Ham United) left footed shot from the left side of the box is high and wide to the left.
81:57Attempt blocked. Andy Carroll (West Ham United) left footed shot from the centre of the box is blocked.
81:37 SubstitutionSubstitution Substitution, West Ham United. Michail Antonio replaces Mauro Zárate.
80:57 BookingBooking Claudio Yacob (West Bromwich Albion) is shown the yellow card for a bad foul.
80:55Mauro Zárate (West Ham United) wins a free kick in the attacking half.
80:55Foul by Claudio Yacob (West Bromwich Albion).
79:10Foul by Andy Carroll (West Ham United).
Claudio Yacob (West Bromwich Albion) wins a free kick in the defensive half.
78:15Mauro Zárate (West Ham United) wins a free kick in the defensive half.
78:15Foul by Claudio Yacob (West Bromwich Albion).
77:32Corner, West Bromwich Albion. Conceded by Winston Reid.
76:13Foul by Nikica Jelavic (West Ham United).
76:13Gareth McAuley (West Bromwich Albion) wins a free kick in the defensive half.
75:21Attempt saved. Mauro Zárate (West Ham United) right footed shot from the left side of the box is saved in the centre of the goal. Assisted by Nikica Jelavic with a headed pass.
74:58Delay over. They are ready to continue.
74:03Delay in match Gareth McAuley (West Bromwich Albion) because of an injury.
73:18Attempt missed. Mauro Zárate (West Ham United) right footed shot from outside the box is high and wide to the right following a corner.
73:04 SubstitutionSubstitution Substitution, West Ham United. Nikica Jelavic replaces Diafra Sakho because of an injury.
72:59Delay over. They are ready to continue.
71:48Delay in match Diafra Sakho (West Ham United) because of an injury.
71:04Corner, West Ham United. Conceded by Jonas Olsson.
71:02Attempt blocked. Diafra Sakho (West Ham United) right footed shot from the right side of the box is blocked. Assisted by Victor Moses.
69:01Angelo Ogbonna (West Ham United) wins a free kick in the defensive half.
69:01Foul by Salomón Rondón (West Bromwich Albion).
67:18Foul by Victor Moses (West Ham United).
67:18Claudio Yacob (West Bromwich Albion) wins a free kick in the defensive half.
63:43Attempt missed. Diafra Sakho (West Ham United) header from the right side of the six yard box is high and wide to the right. Assisted by Manuel Lanzini with a cross following a corner.
63:28 SubstitutionSubstitution Substitution, West Ham United. Andy Carroll replaces Pedro Obiang.
63:04Corner, West Ham United. Conceded by Gareth McAuley.
62:33Attempt saved. Mauro Zárate (West Ham United) right footed shot from outside the box is saved in the top centre of the goal.
61:37Victor Moses (West Ham United) wins a free kick in the attacking half.
61:37Foul by Claudio Yacob (West Bromwich Albion).
60:52Attempt missed. James McClean (West Bromwich Albion) right footed shot from the centre of the box is high and wide to the right.
60:49Attempt saved. Salomón Rondón (West Bromwich Albion) header from very close range is saved in the top centre of the goal. Assisted by Darren Fletcher with a cross.
59:06Corner, West Bromwich Albion. Conceded by Adrián.
59:03Attempt saved. Rickie Lambert (West Bromwich Albion) right footed shot from outside the box is saved in the bottom right corner.
57:54Foul by Angelo Ogbonna (West Ham United).
57:54Rickie Lambert (West Bromwich Albion) wins a free kick in the attacking half.
55:46Foul by Diafra Sakho (West Ham United).
55:46Jonny Evans (West Bromwich Albion) wins a free kick in the defensive half.
53:47Cheikhou Kouyaté (West Ham United) wins a free kick on the right wing.
53:47Foul by James McClean (West Bromwich Albion).
52:55Foul by Manuel Lanzini (West Ham United).
52:55Craig Dawson (West Bromwich Albion) wins a free kick in the defensive half.
52:05Corner, West Ham United. Conceded by Gareth McAuley.
49:40 Goal scoredGoal! Own Goal by Winston Reid, West Ham United. West Ham United 1, West Bromwich Albion 1.
49:05Attempt missed. Rickie Lambert (West Bromwich Albion) left footed shot from the right side of the box is close, but misses to the left. Assisted by Darren Fletcher.
47:30Diafra Sakho (West Ham United) wins a free kick in the attacking half.
47:30Foul by Jonas Olsson (West Bromwich Albion).
46:33Foul by Mauro Zárate (West Ham United).
46:33Craig Dawson (West Bromwich Albion) wins a free kick in the defensive half.
45:08Carl Jenkinson (West Ham United) wins a free kick in the defensive half.
45:08Foul by Rickie Lambert (West Bromwich Albion).
45:00Second Half begins West Ham United 1, West Bromwich Albion 0.
45:00 SubstitutionSubstitution Substitution, West Bromwich Albion. Rickie Lambert replaces Stéphane Sessegnon.
45:00 +1:24 Half timeHalf Time First Half ends, West Ham United 1, West Bromwich Albion 0.
44:35Attempt missed. Victor Moses (West Ham United) right footed shot from the right side of the box is high and wide to the right. Assisted by Cheikhou Kouyaté.
43:03Corner, West Ham United. Conceded by Jonny Evans.
43:02Attempt blocked. Diafra Sakho (West Ham United) right footed shot from the right side of the box is blocked. Assisted by Mauro Zárate.
42:59Attempt missed. Mauro Zárate (West Ham United) right footed shot from the centre of the box misses to the right. Assisted by Aaron Cresswell with a cross.
40:23Foul by Carl Jenkinson (West Ham United).
40:23Claudio Yacob (West Bromwich Albion) wins a free kick in the defensive half.
38:39Corner, West Ham United. Conceded by Jonny Evans.
37:49Offside, West Bromwich Albion. Gareth McAuley tries a through ball, but James McClean is caught offside.
37:35Attempt missed. Stéphane Sessegnon (West Bromwich Albion) right footed shot from the right side of the box misses to the left. Assisted by Craig Dawson with a headed pass.
35:42Mauro Zárate (West Ham United) wins a free kick in the defensive half.
35:42Foul by Salomón Rondón (West Bromwich Albion).
34:54Foul by Pedro Obiang (West Ham United).
34:54Jonny Evans (West Bromwich Albion) wins a free kick in the defensive half.
28:41Attempt saved. Manuel Lanzini (West Ham United) right footed shot from the right side of the box is saved in the top centre of the goal. Assisted by Mauro Zárate.
27:04Dangerous play by Diafra Sakho (West Ham United).
27:04Craig Dawson (West Bromwich Albion) wins a free kick in the defensive half.
24:30Foul by Aaron Cresswell (West Ham United).
24:30Stéphane Sessegnon (West Bromwich Albion) wins a free kick on the right wing.
23:57Foul by Victor Moses (West Ham United).
23:57Jonny Evans (West Bromwich Albion) wins a free kick in the defensive half.
23:52Attempt saved. Manuel Lanzini (West Ham United) right footed shot from outside the box is saved in the bottom right corner.
23:24Angelo Ogbonna (West Ham United) wins a free kick in the defensive half.
23:24Foul by Salomón Rondón (West Bromwich Albion).
22:51Attempt missed. Cheikhou Kouyaté (West Ham United) header from the centre of the box is close, but misses to the right. Assisted by Aaron Cresswell with a cross.
19:38Mauro Zárate (West Ham United) wins a free kick on the left wing.
19:38Foul by Gareth McAuley (West Bromwich Albion).
18:18Aaron Cresswell (West Ham United) wins a free kick in the defensive half.
18:18Foul by Stéphane Sessegnon (West Bromwich Albion).
16:55 BookingBooking Jonas Olsson (West Bromwich Albion) is shown the yellow card.
16:40 Goal scoredGoal! Goal! West Ham United 1, West Bromwich Albion 0. Mauro Zárate (West Ham United) from a free kick with a right footed shot to the top left corner.
15:43Diafra Sakho (West Ham United) wins a free kick in the attacking half.
15:43Foul by Gareth McAuley (West Bromwich Albion).
12:19Attempt missed. Salomón Rondón (West Bromwich Albion) right footed shot from outside the box is close, but misses to the left. Assisted by Darren Fletcher.
11:00Foul by Pedro Obiang (West Ham United).
11:00James Morrison (West Bromwich Albion) wins a free kick in the defensive half.
8:56Attempt missed. Mauro Zárate (West Ham United) left footed shot from the left side of the box is close, but misses to the left. Assisted by Manuel Lanzini.
7:49Manuel Lanzini (West Ham United) wins a free kick on the left wing.
7:49Foul by Darren Fletcher (West Bromwich Albion).
6:27Diafra Sakho (West Ham United) wins a free kick in the defensive half.
6:27Foul by Craig Dawson (West Bromwich Albion).
4:43Offside, West Bromwich Albion. Jonas Olsson tries a through ball, but Salomón Rondón is caught offside.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
Live data and text provided by our data suppliers