Fans from across the world voted for the Algeria and Leicester midfielder ahead of Pierre-Emerick Aubameyang, Andre Ayew, Sadio Mane and Yaya Toure.
Winger Mahrez, 25, told BBC Sport: “It means a lot, it’s something big for African players so I am very happy, I am very proud.
“It’s always good to receive awards and for African players it’s a huge honour. To all the fans, thank you very much.”
He added: “Also I want to thank the Algeria fans and dedicate this to them as well and for my family.
“I just have to carry on and keep going with my football and see what I can do.”
By BBC Sport