The issues discussed included 'Swachh Bharat' Mission with the Facebook co-founder.
Zuckerberg, who called on the Prime Minister, expressed his interest in working with the government in the areas of healthcare and education.
The Prime Minister pointed out that lots of terrorist elements are using social media platforms to recruit members, according to an official statement.
"This is unfortunate and we need to think of the role the social media can play to stop terror," Modi said.
"This would give a strong impetus to the Swachh Bharat Mission," the statement said.