In an op-ed published in the Washington Post, Facebook's chief says the responsibility for monitoring harmful content is too great for firms alone.
The open letter, which will also be published in some European newspapers, comes as the social network faces questions over its role in the Cambridge Analytica scandal around data misuse during election campaigns.
The site has also been criticised for failing to stop the spread of footage of the Christchurch killings, in which 50 Muslims died as they prayed.
However, the site earlier announced that it was considering introducing restrictions on live-streaming in the wake of the Christchurch attacks.
On Friday it also started labelling political ads appearing on Facebook in EU countries, showing who the advertiser is, how much they paid and who they've targeted.
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