Modric's win breaks the Lionel Messi-Ronaldo duopoly of the last 10 years and it follows his player of the tournament prize at Russian Federation 2018 and UEFA player of the year accolade last month.
Salah didn't leave empty-handed, picking up the Puskas Award for his goal in the Merseyside derby in December 2017.
FIFA FIFPro World XI: De Gea, Marcelo, Varane, Ramos, Dani Alves, Modric, Kante, Ronaldo, Hazard, Messi and Mbappe.
The Liverpool player's goal against Merseyside rivals, Everton, in the Premier League was adjudged the best goal and victor of the Puskas Award.
The 32-year-old Marta, whose Orlando Pride team reached the U.S. National Women's Soccer League (NWSL) playoff semi-finals, had won the previous FIFA Women's Player of the Year award five times, most recently in 2010.
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 trophy returned to Madrid given that the holder till then was Ronaldo, who left Madrid to join Turin side, Juventus. I have to thank everyone who for voted me'.
France manager Didier Deschamps took home the prize for Coach of the Year after winning last summer's World Cup.
German forward Lennart Thy won the fair play award after missing a game for Dutchside VVV-Venlo to help a leukemia patient.
"I am as happy as if I had won it", the defender said.
Real Madrid's Belgium global Thibaut Courtois won the Goalkeeper of the Year Award.
All three enjoyed great World Cup campaigns, with Courtois helping Belgium to a third-place finish.