The Somerset side won all five games in the month, beating Kidderminster, Grimsby, Leyton Orient, Cheltenham and Cambridge.
And they got the new year off to a flyer as well, opening up a three point gap at the top of the table
Johnson said: "The award is for everyone at the club. It is always pleasing,but this is pleasing in particular because of the amount of games we have had in a short space of time.
"We are a team that can play, we have a bit of quality and have real commitment and desire to get on. Not many of the players have been there and done it. They are working hard and are ambitious.
"We are in a good position and have lots of confidence and if we do go up we will be ready. But there are 20 games to go and we will keep our feet on the floor.
"We will focus on the next division, but we first have to work really hard to stay where we are."
Hull City boss Peter Taylor took the League One award, with Sheffield United's Neil Warnock taking the plaudits in the Championship.