It is the first time since Brazilian Kaka's triumph in 2007 that the men's prize was not won by either Cristiano Ronaldo or Lionel Messi -- neither of whom attended the ceremony held at London's Royal Festival Hall.
Ronaldo, who joined Juventus from Real Madrid in the close season, was second in this year's awards with Liverpool's Mohamed Salah in third place.
France's World Cup-winning coach Didier Deschamps took the Men's Coach of the Year award, with compatriot Reynald Pedros claiming the women's award after winning the Champions League with Olympique Lyonnais.
Voting for the player and coach categories was conducted by national team captains and managers, selected journalists and, for the first time, an online poll of fans.
Real Madrid's Belgium international Thibaut Courtois won the Goalkeeper of the Year Award.
Salah's goal for Liverpool against Merseyside rivals Everton in the Premier League won the Goal of the Year, which is voted for by fans, ahead of Gareth Bale's spectacular overhead kick for Real Madrid in the Champions League final.