The Facebook founder said atrocities in Belgium, Pakistan and Turkey were all designed to sow seeds of hatred between different communities.
He said: “Each of these attacks were carried out with a goal to spread fear and distrust, and turn members of a community against each other.”
The “only sustainable way to fight back” against the sickening attacks is to “create a world” where everyone “feels cared for and loved”, he added.
Facebook has been criticised for mistakenly asking users hundreds of miles away from the bombing in Lahore, Pakistan, if they were safe.
Mr Zuckerberg did not adress the criticised but explained why the Safety Check feature, first introduced in late 2014, had been turned on.