Barcelona's Lionel Messi had to settle for second and Paris St-Germain's Neymar took third spot. "He has shown it many times, he is always there in the big games. Five is good but seven is my lucky number so seven would be great".
For the women's awards, Gemma Fay, who retired this year after 200 international caps, and former national team boss Anna Signeul cast Scotland's votes.
The Puskas award is given to the player who scored the best goal of the year.
Cristiano Ronaldo, Best player of the year, was joined by Sergio Ramos, Marcelo, Toni Kroos, Luka Modric.
Ronaldo's triumph stole the show, however, the 32-year-old receiving recognition for another stellar year in which he won both the Champions League and LaLiga with Real Madrid.
The three superstar forwards were also in the running for the FIFA Best Men's Player award. "Thank you to the people who voted for me".
The event is the second of its kind after Fifa ended its partnership with France Football's Ballon D'or award.
Vergogna Ultrà Lazio: "Romanista ebreo" con foto di Anna Frank
Una foto che ritrae Anna Frank , simbolo della Shoah, con la maglia della Roma in un vergognoso fotomontaggio. Immediata la protesta della comunità ebraica romana.
British Premiere League club Arsenal's Olivier Giroud won the Puskas award for the best goal, while Scottish club Celtic won the fan award for honoring the club's 'Lisbon Lions' with a display on the 50th anniversary of their 1967 European Cup win.
I'm proud of it but I want to say thanks to my club, my coach, my teammates because they help me to make it possible and I want to say thanks to all the person (sic) who voted for me and I think the last year has been a fantastic season for Juventus, and a personal season.
The Frenchman's flicked volley with his left foot that went in off the crossbar won ahead of goals from Venezuela's Deyna Castellanos, 18, and South African goalkeeper Oscarine Masuluke.
Italy's Gianluigi Buffon was the goalkeeper with the defence made up of Brazilians Dani Alves and Marcelo, Spain's Sergio Ramos and Italy's Leonardo Bonucci. Burkinabe coach Paulo Duarte, unsurprisingly, opted for his compatriot, followed by Messi and Neymar.
And he of course led Portugal to success at Euro 2016.
"There's no need to worry if Cristiano does not score, the important thing is that he has chances", Zidane told reporters.