"We didn’t start the game well, in the first 15 minutes they were very good and we’ve conceded a goal in 45 seconds so we’ve not given ourselves a fighting chance.
"I thought we grew into the first half and got better and until the second goal we had a chance, but on the night we didn’t do well enough."
In the post-match press conference, Moyes attempted to defend another poor performance from his side which left them 12 points adrift of fourth, with Chelsea a distant 18 ahead.
"I take responsibility for the team, I always will do," said the Scot, whose side have taken just seven points from 13 games against the present top nine.
"Everyone knows this is going to be a job which is going to take a little bit of time to get the way we would like it, but that is the job and I recognise that.
"I thought it would be a tough year for us, no doubt about that, but I hoped it would be much more competitive and closer to the top of the league than we are at the present time."
Moyes has consistently shouldered the blame and deflected criticism away from his players and he did so again, although even he admitted he did not understand why they were not up for the game against their rivals from the off.
"We never started well. We never gave ourselves a great opportunity to get into the game," added the Scot.
"Manchester City started really fast and conceding a goal after 30-40 seconds made it difficult.