Lennon led Celtic to victories in all five league matches in February.
The award is Lennon’s third in four months.
“It’s great for all of us, and it proves that we’re doing things in the right way,” Lennon’s assistant Johan Mjallby told the club’s official website.
“We always knew we had the players, we never panicked, which is probably the main reason we’re sitting here top of the league and still in the two cups, and with everything to play for.
“It was very important that we didn’t change much, despite the poor run of results we had earlier in the season.
“We stuck to the things we believed was the right path to success, and it was a case of getting the players to work a wee bit harder for each other.”