Morris, who is currently on loan at the club from Blackburn Rovers, has starred for Fleetwood with his energetic displays in midfield.
The 22-year-old also opened his goalscoring account for the club by finding the net against Cheltenham Town and Wycombe Wanderers as Fleetwood secured a spot in the playoffs.
Fleetwood manager Gary Alexander said: "He has got himself acquainted with the group quickly and he has shown his qualities from day one.
"He has great ability on the ball, he has great awareness about the game of football and he is a very good young professional footballer."
Morris beat Danny Hollands, Pablo Mills and Nick Pope to the award.