Despite dominating most of the game the Hammers could not find a way past former West Ham and England goalkeeper David James.
Sam Allardyce’s side created 19 chances but were unable to break down a resolute Bristol back-line leaving the manager a little disappointed.
“I suppose we have to accept days like this," Sam told the official site. "We just lacked the cutting edge that we had on Saturday when we were so sharp. It is amazing, just 72 hours ago we were striking balls into the back of the net. Tonight it just eluded us and they came and went on numerous occasions. It was not just one or two.
“Unfortunately for us we just have to accept the point.”