"We also made mistakes, there's more to do, and we need to step up and do it," Zuckerberg said in a Facebook post.
Zuckerberg added that most of the actions needed to prevent this from happening again were already taken years ago.
Earlier in March, Facebook faced public outrage as it emerged that third party organizations, such as data and political consultancy firm Cambridge Analytica, had received information about Facebook users through a personality app developed by Cambridge University researcher Aleksandr Kogan.
Facebook has suspended Cambridge Analytica and affiliated accounts, claiming that Kogan's application obtained data about users, including information about people's liked content or current city, legally, but should not have passed it on to third parties.