"He gave us belief that we could achieve something great in Russian Federation, and hopefully we will do the same for the next generation", Modric said.
"Everyone has their own reasons", said Modric.
"If I was voting, I wouldn't vote for them [Ronaldo or Bale]".
The Best Men's Player of the Year award, formerly named the Fifa World Player of the Year, has always been dominated by both Ronaldo and Lionel Messi, but Barcelona forward Messi failed to make the shortlist for this year's award for the first time since 2006.
Bale's acrobatic volley in the Champions League final for Real Madrid against Liverpool, and Ronaldo's bicycle kick, also in the Champions League, against his new team Juventus, were tipped as favourites to win the award, along with McGree, leaving some fans stunned at the result.
"It was an unbelievable season, the best season in my life", said Modric.
The star-studded event will also see the best Women's Player, Men's Coach, Women's Coach and Men's Goalkeeper crowned, as well as picking Goal of the Year.
"I´m still not realising how good a year I had collectively, individually, and I´m very proud for everything I achieved this year and it will be remembered forever".
The Liverpool player's goal against Merseyside rivals, Everton, in the Premier League was adjudged the best goal and victor of the Puskas Award.
France forward Kylian Mbappe was fourth and Messi fifth with just under 10 percent of the vote.
"I am as happy as if I had won it", said Ramos of Modric's success. In August this year at an event in Monaco, Modric was named Europe's best player.
Meanwhile, former Chelsea goalkeeper Thibaut Courtois won the goalkeeper of the year prize, beating Leicester's Kasper Schmeichel and Hugo Lloris of Tottenham Hotspur and World Cup-winning France. Olympique Lyonnais women's team manager Reynald Pedros won best women's coach.
The Egyptian star's effort, which saw him spin past two Everton players before curling a left-foot shot into the far corner, gained 38 per cent of the more than 500,000 votes cast.