Mr Jugnauth will also meet President Pranab Mukherjee, Vice President Hamid Ansari, External Affairs Minister Sushma Swaraj, and Defence and Finance Minister Arun Jaitley.
The Mauritius premier, who will be in India from May 28, will address a business event and will be felicitated by the India Foundation.
This will be Mr Jugnauth's first visit abroad as prime minister after assuming office early this year.
The Militant Socialist Movement (MSM) leader will be accompanied by his deputy Ivan Collendavelloo, senior officials including the cabinet secretary and finance secretary of Mauritius.
During his visit, Mr Modi commissioned the OPV Barracuda, built by an Indian shipyard and financed by India, into the Mauritian Coast Guard.
"The Mauritian PM's forthcoming visit to India is part of our continuing engagement with the Government of Mauritius at the highest level and reflects special ties between our two countries," Ministry of External Affairs spokesperson Gopal Baglay said.
Follow NDTV for latest election news and live coverage of assembly elections 2019 in Maharashtra and Haryana.
Subscribe to our YouTube channel, like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.