Modi would make his maiden visit to Bangladesh after being invited by his counterpart Sheikh Hasina following his election last year, the foreign ministry said in a statement.
"The visit is expected to further strengthen the excellent relationship between the two countries," it said.
The statement said the two premiers would hold talks to review the "entire gamut of bilateral relations" while Modi will also make a courtesy call on President Abdul Hamid.
The statement came hours after Indian high commissioner in Dhaka Pankaj Saran joined a meeting with Bangladesh officials at the foreign ministry to finalise the protocols and other issues related to the visit.
Officials familiar with the meeting said besides the talks with Hasina and Hamid, Modi would join a function at premier Dhaka University, deliver a public lecture at Bangabandhu International Conference Hall in the capital and visit the national memorial at suburban Savar to pay tributes to martyrs of 1971 Liberation War.