It's the first time since 2008 that neither Ronaldo or Lionel Messi has won the award and neither attended the ceremony.
Bizarrely, Thibaut Courtois won the Goalkeeper of the Year prize but wasn't selected in the team of the year.
Liverpool's Salah returned to the Premier League with mixed expectations, following a two-year stint with Roma and bumpy spell at Chelsea, only to score a Premier League record 32 goals, and 44 in total last season.
Salah earned the award - amid widespread disbelief - for his goal against Everton in December 2017.
He polled 38 percent of the entire votes to win the prestigious prize after his curling left-footed shot ended high inside the far corner of Jordan Pickford's net.
Speaking with reporters at the event, Hazard said, "I voted for Luka Modric, but Mo Salah is my friend so I would like him to win".
"This trophy is also for my family, without whom I would not be the person that I am".
Chelsea drop first Premier League points after stalemate at West Ham
West Ham: Fabianski 8, Balbuena 7, Zabaleta 6, Diop 7, Masuaku 7, Rice 7, Obiang 6, Noble 7, Yarmolenko 7, Anderson 7, Antonio 5. Next up for Chelsea FC is their trip to Liverpool FC for their third-round League Cup tie against the Reds.
The Croatia global enjoyed a stunning campaign last season, reaching the Champions League final and captaining his country to the World Cup final, where they ultimately lost to France.
Deschamps' win was no surprise, given the focus on Russian Federation 2018, and he used his acceptance speech to warmly thanks his backroom staff and players.
"We all know that being a coach, alone we can't do anything".
Real Madrid's Belgium worldwide Thibaut Courtois won the Goalkeeper of the Year Award.
Luka Modric narrowly missed out on winning the World Cup this year, but he did walk away with FIFA's highest individual honor on Monday.
Joining them, Didier Deschamps and Reynald Pedros were unveiled as The Best FIFA Men's Coach and Women's Coach respectively after leading France and Olympique Lyonnais Féminin to landmark seasons.
In the final category, for best support, fans of Peru, Chilean side Sebastian Carrera, and national team fans of Japan and Senegal together, will see which of the trio will come out on top.
"First of all, I would like to give congratulations to Mohamed [Salah] and Cristiano [Ronaldo] for the great season that they've had and I'm sure in the future they will have another opportunity to fight for this trophy".