The United winger picked up the award at a ceremony in Monaco on Thursday evening, where he was also named the forward of the year.
"I feel very proud to have won these awards," he said after collecting the award.
"Manchester United had a great season and I scored many goals.
"As a winger, to be named the best forward is fantastic. It is very good for me and gives me more ambition to become better.
"Thanks to my team-mates and those who voted for me."