Carli Lloyd of the United States was named the world's best female player.
Leicester's Claudio Ranieri was named best men's coach, ex-Germany boss Silvia Neid won the female coach award, while Penang's Mohd Faiz Subri received the Puskas award for the best goal of 2016.
Hold on... haven't we already had the Ballon d'Or?
We have - but this is different.
For the past six years, the world's best player has received the Fifa Ballon d'Or award.
A version of that prize has been awarded by France Football magazine since 1956, but last year world football's governing body ended its association with that honour.
Instead, it introduced the Best Fifa Football Awards, with Ronaldo the first recipient of its main prize.
Voting for the player and coach categories was by national team captains and managers, selected journalists and, for the first time, an online poll of fans.
Each counted for 25% of the points.
Best Fifa men's player - Cristiano Ronaldo
2016 was quite the year for Ronaldo.
As well as scoring the decisive penalty in the shootout to win the Champions League, rescuing Real with a hat-trick in the final of the Club World Cup, captaining Portugal to Euro 2016 glory and being recognised with a fourth Ballon d'Or, he now has something Messi does not - the honour of being named best Fifa men's player.
The former Manchester United forward had been the favourite for the award, following a year in which he continued to deliver remarkable statistics. These included:
44 games, 42 goals, 14 assists.
The third best minutes-per-goal rate (83.68) of anyone scoring a minimum of 10 goals across Europe's top five leagues during 2016, behind Luis Suarez (82.57) and Radamel Falcao (59.6)
Finishing top scorer in the Champions League in 2015-16 with 16 goals, seven more than second-placed Robert Lewandowski.
Fifpro World XI
Despite being on the shortlist for best individual player, Griezmann did not make the best XI.
The line-up features five players from Real Madrid, four from Barcelona, one from Juventus (Dani Alves, who was at Barca for the first half of 2016) and one, Manuel Neuer, from Bayern Munich.
That means no Premier League players were included.
Best Fifa women's player
Despite the United States failing to finish on an Olympic podium for the first time, co-captain Carli Lloyd has continued her exceptional form both for her club, Houston Dash, and country.
The 34-year-old saw off competition from Brazil's Marta and Germany's Melanie Behringer to win the award.
Best men's coachFrom 5,000-1 outsiders to Premier League champions.
Leicester City manager Claudio Ranieri, who has also led his side to the last 16 of the Champions League this season, won the award ahead of Real Madrid's Zinedine Zidane, who lifted the Champions League in his first season in charge, and Portugal's Fernando Santos, who led his team to an unexpected success at Euro 2016.
Best women's coach
Success in Rio added to her extensive trophy collection, which includes the World Cup and two European Championships.
Puskas award (best goal)
The best goal of 2016 was, officially, scored by Penang's Mohd Faiz Subri.
It came in the Malaysia Super League, the forward converting a superb, swirling free-kick from 35 yards which started out heading towards the top left corner but ended up in the top right.
The fan award went to supporters of Liverpool and German club Borussia Dortmund, who together sang a moving rendition of 'You'll Never Walk Alone' - an anthem adopted by both teams - before their Europa League quarter-final in April. The match came the day before the 27th anniversary of the Hillsborough disaster, in which 96 Liverpool fans died.
Liverpool went on to produce a stirring display, coming from behind to win the match 4-3 and advance to the semi-finals 5-4 on aggregate.
Fair play award
Colombian side Atletico Nacional were given the fair play award for their part in the aftermath of the plane crash which killed 19 players and staff of Brazilian side Chapecoense.
Chapecoense were en route to play the first leg of their Copa Sudamericana final when the plane crashed, killing 71 people.
Atletico Nacional said the title should be awarded to Chapecoense. Fifa recognised their "spirit of peace, understanding and fair play"