It recognises Chelsea's 100 per cent record in the competition in that month.
On receiving the award, Lampard spoke to the official Chelsea website and said: "Winning an individual award like this, my first one at the club, it is the perfect time to appreciate the close staff who have worked so hard since pre-season and the players, as they are the ones who go out and perform. I am delighted for everybody.
"I would probably say out of the Premier League games we played in October, the one away against Burnley was the highlight because of the way we were so dominant in our performance and Burnley is a very tough place to go. People may have questioned the fact that we are a young team and with the physical nature of the challenge, but we responded very well and played some really good football.