Ronaldo and Messi continue to dominate football at Juventus and Barcelona respectively, with both players in contention to win the Ballon d’Or award.
The prize has altered between the two men every year since 2007, with AC Milan hero Kaka the last player to scoop the accolade.
Cristiano Ronaldo won Real Madrid the Champions League prior to his move away, and has since helped Juventus enjoy their best-ever start to a Serie A season.
Messi, meanwhile, has struck 12 goals already this season to propel Barcelona to the La Liga summit.
Mbappe, of PSG, is also in the frame to take the trophy home.
The France international has enjoyed a stunning year, helping his country win the World Cup in Russia along the way.
And Mbappe believes Ronaldo and Lionel Messi will not win the Ballon d’Or this year – because it is a World Cup year.
“Nobody is doing better at the moment and we can’t say it’s the end of their era because it will only end when somebody else does better than them,” he said.
“I don’t think one of them will win the Ballon d’Or this year because it was a World Cup year, and the World Cup takes precedence.
“But if you take the player in the purest form, there’s nobody better yet. This year they were again the best two.
“Messi finished the best goalscorer in Europe; Ronaldo was the top scorer in the Champions League.”
Mbappe is also in contention to win the Ballon d’Or given his performances for France and PSG over the last 11 months.
And the 19-year-old would love to become the first French player to win the prize since Zinedine Zidane.
“Frankly, I hope so (win the Ballon d’Or),” he added.
“We achieved something big.
“It would not be unjust because that is a strong word, but it would be a shame if a Frenchman does not win it.
“We made history and it would be nice to be rewarded.”