In a post on his Facebook page, Zuckerberg said: "Prime Minister Modi and I will discuss how communities can work together to address social and economic challenges."
Zuckerberg asked for questions to be posted in the comments section of his post and said he will have as many as possible asked at the meeting.
The question-answer townhall meeting is set for 9.30am local time or 10pm Indian Standard Time and will be carried live on Zuckerberg's Facebook page.
As of Thursday, the townhall post was shared more than 40,000 times and it was being promoted through advertisements on many sites.
Many questions posted so far by Facebook users are on the reservation controversy. Others are about development issues, universal Internet access, censorship, net neutrality and women's rights.
Predictably, there were also comments about "genocide", lifting ban on beef and pornography and caste.