Chelsea threw everything at Sam Allardyce's side in the second half but failed to find a way past the Hammers, who were reliant on strong performances from goalkeeper Adrian, James Collins, James Tomkins and the midfield, who sat deep throughout.
The stalemate has left Chelsea three points behind new Premier League leaders Manchester City, who secured a 5-1 victory over Tottenham at White Hart Lane.
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"It's very difficult to play a football match when only one team wants to play. A football match is about two teams playing.
"I told Big Sam, they need points. To come here the way they did, is that acceptable? Maybe it is, they need points."
Mourinho insisted there was little more his side could do to break down West Ham, who came away from Stamford Bridge with a point for only the second time since September 2002.
He joked: "The only thing I could bring more was Black & Decker - a Black & Decker to destroy the [West Ham] wall."
Allardyce, however, laughed off criticism from the Chelsea boss.
"He can tell me all he wants [that West Ham were negative], I don't give a *****," he said. "I love to see Chelsea players moaning at the referee, trying to intimidate him, Jose jumping up and down saying we play **** football.
"It's brilliant when you get a result against him...I love Jose."