Carlos Tevez struck a double while Martin Petrov scored one to leave City just three points behind rivals Manchester United.
“We have a very good team. We have started the Premier League well and today it was good to get back with a win,” Bellamy said in an interview on ESPN.
“We started well, we wanted to press as high as we could.
“We got the first goal which helps in a Premier League game. We gave away a sloppy equaliser which made it difficult for ourselves.
“West Ham are a difficult team they are very bright, and in a game like this you are never out of sight.”