The Rams began the month outside of the play-off spots but ended it firmly in the race for one of the two automatic promotion spots following six wins and a draw, during which time McClaren's side scored 18 times.
McClaren has lost just two of the 14 Championship games he has been in charge of, winning 10, since he returned to the midlands club following the departure of Nigel Clough.
"Like I've said from my very first day here, it is the players that cross the white line," he told the club's official website.
"They perform and they take the responsibility on the pitch.
"They have to also take on board what we've worked on during the week and our results and performances suggest they've done just that.
"As a result of that happening we have been getting both results and recognition.
"I've always seen this award in the past and thought 'it's not just about the manager' - and it's very much the case now I've been presented with this award.
"It is about all the staff and I can't stress how important they are."
- Sports & Recreation