The reigning champions notched up five wins out of five in the Premiership and have a 13-point lead at the top going into Saturday's home game against St Mirren.
Celtic beat Hamilton Accies (4-1), Motherwell (4-0), Hearts (5-0), Aberdeen (2-1) and Kilmarnock (3-1) to make it eight league victories on the trot.
It is the third time this season that Lennon has been named Manager of the Month - he also picked up the award in August and November.
