The France international forward believes that he has a strong case for the award this year but concedes that the Real Madrid superstar is also a fine candidate
The duo are considered the frontrunners for the award as Lionel Messi, who has won the prize for each of the last four years, has endured an injury-ravaged calendar year.
Ribery has spoken of his respect for Ronaldo but is confident that his part in Bayern's treble win should see him pip the Portuguese to the title.
"We all know that Cristiano Ronaldo is a super footballer. Naturally, he deserves to win it too," the France international told Kicker.
"However, it's a vote based on a whole year and I also have a case for it. People will make the right choice. I'm quite relaxed."
Meanwhile, Barcelona legend Hristo Stoichov, who won the award in 1994, has backed Ribery to see off the competition.
"This year, my view is that Messi has missed a lot of matches due to several injuries," he told RMC.
"I personally believe that Ribery will win. He had a great season with Bayern and did spectacular things and he negotiated World Cup qualification with France."