"It's an unbelievable feeling", said Modric, who helped Real Madrid win a third-straight Champions League in May this year before guiding Croatia to the World Cup final in July, its best ever performance at the tournament.
Real Madrid's Croatian midfielder Luka Modric brandishes the trophy after receiving the 2018 FIFA Men's Ballon d'Or award for best player of the year.
Modric and Ramos face Melilla in the Copa del Rey ion Thursday and will resume league action for Madrid on Sunday away to Huesca as they look to battle their way back into the top four of La Liga after a stuttering start under former manager Julen Lopetegui.
There are 30 candidates on the shortlist for the male award, including 11 Premier League players, Lionel Messi and current holder Cristiano Ronaldo.
Lyon's Ada Hegerberg was crowned the first ever female Ballon d'Or victor but the moment became shrouded in controversy when French DJ Martin Solveig - who was helping host the gala alongside David Ginola - asked the Norwegian to "twerk".More news: Sri Lanka president weighs backing down in crisis over parliament
The last player to lift the award apart from the Argentine and Portuguese, who have won it a joint-record five times each, was Kaka in 2007 when the Brazilian played for AC Milan.
Alongside the Ballon d'Or, the inaugural Trophee Kopa award was also handed out at the ceremony in Paris, with Paris Saint-Germain striker Kylian Mbappe scooping the award for best young player under the age of 21.
Ronaldo, who joined Real Madrid from Juventus in the summer, came second. Griezmann also scored twice for Atletico Madrid in the Europa League final win against Marseille.
"I want to say thanks to France Football".
World Cup winners N'Golo Kante (11) and Paul Pogba (15) finished in the top 20 after being recognised for their performances in Russian Federation. "It's a huge step for women's football", Hegerberg said.
Taking a stand against what she describes as a lack of respect for female players in Norway, she hasn't played for the national team since 2017 when it crashed out of the group stage of the Women's European Championship without scoring a goal. I didn't really think about it at the time to be honest.