Platini had supported challenger Prince Ali bin al Hussein who withdrew after the first round of voting in the election.
"I am proud that UEFA has defended and supported a movement for change at FIFA. Change which in my opinion is crucial if this organisation is to regain its credibility," Platini said after the vote.
"I congratulate my friend Prince Ali for his admirable campaign and I take the opportunity to thank all the national associations who supported him," he added.