Tomas Soucek's second-half strike earned West Ham a point at Brentford after Bryan Mbeumo scored in the first minute.
For the third Premier League game in succession Brentford scored with less than 60 seconds on the clock, with Mbeumo curling a volley out of Alphonse Areola's reach.
Despite falling behind so early, West Ham remained positive and created the lion's share of the chances in the opening 45 minutes.
Jarrod Bowen, Michail Antonio and Mohammed Kudus all had opportunities, although only the latter managed to find the target.
Brentford seemed happy to sit back and soak up pressure after such a bright start, with their next effort at goal coming in the 34th minute when Mbeumo headed over the bar.
West Ham's pressure finally told shortly after half-time when Soucek, brought into the starting XI for the suspended Edson Alvarez, pounced on a loose ball to slot in from close range.
With the game finely poised, Brentford started to control possession and eventually worked their way into some positive positions.
Yehor Yarmoliuk went closest to re-establishing a lead for the home side but his shot was saved.
West Ham forced Brentford to defend deep in the final 10 minutes and the visitors almost snatched a winner when substitute Crysencio Summerville's shot from a tight angle was deflected on to the roof of the net.
The draw keeps Brentford 12th in the Premier League table, while West Ham remain 14th.
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