Allen's promotion-chasing side won three of their five fixtures during the month and ended it top of the table, despite a 2-1 defeat against second-placed Port Vale.
The year began with away wins at Southend and Bristol Rovers, before the Gills bounced back from the loss to Micky Adams' side with a draw against York and a 2-0 win over Northampton.
"Martin Allen has had another fine month consolidating an automatic promotion place for Gillingham," said panel member Alan Curbishley.
"His side have shown great consistency to date in League Two and will be hoping it continues right to the end of the season."
