Overall, Ronaldo scored 42 goals and assisted another 12 strikes in 46 appearances for Real last season.
Chelsea manager Antonio Conte was shortlisted for men's coach of the year but the Italian, who lifted the Premier League title in his first season in England, lost out to Zinedine Zidane.
"I'm really glad. This is a great moment for me". Thank you to all my fans all over the world. Both he and Messi are two figures in world football. Carli Lloyd is in contention to win her second Best Fifa Women's Player award, she signed for Manchester City in February.
In an evening sprinkled by show business, with star of small and large screen Idris Elba hosting proceedings, it was a true story fit for Hollywood that saw the FIFA Fair Play Award handed to Francis Kone.
Last year the inaugural event took place in Zurich but this year the Palladium Theatre in London is hosting the awards.
Unfortunately, Ronaldo didn't find the net against Eibar either and for a man who has a record of 413 goals in 404 games for Los Blancos (yes, you read correctly), every game without a goal is frustrating.
Fay's pick as player of the year was Pernille Harder of Denmark and Wolfsburg, followed by Dutch midfielder Lieke Martens, who moved from Rosengard to Barcelona this year.
The Italian club boasted their own winner in London, however, as their goalkeeper Gianluigi Buffon won the best goalkeeper prize.
The women's award honored the Netherlands' success at the European Championship in August.
Former France star Zidane was the first coach to oversee a successful defence of the European Cup in the Champions League era.
Ronaldo said: "Thank you, the guys who voted on me".
Giroud netted a stunning "scorpion kick" against Crystal Palace in January - so-called because he flicked the ball over his head with the back of the heel.
Click through the mini-gallery above to see which trophies Ronaldo has picked up since the beginning of the 2016/17 campaign.