"We will be extremly happy to welcome Mr Modi," said French Foreign Minister Laurent Fabius during a visit to New Delhi on Thursday.
The Indian premier had been invited to a summit with President François Hollande "in the spring".
This is the first firm invitation to visit Europe for Modi since his election in May, although there have been reports that he may go to Britain and Germany.
The Hindu nationalist leader was effectively blacklisted by the European Union in the aftermath of sectarian riots, in which over 1,000 Muslims were killed, in the state of
Gujarat shortly after he was elected chief minister there.
But, since his election as India's prime minister, the boycott had ended.
France and India have a strategic partnership and Fabius said that nuclear enercy and aviation technology would be among the subjects to be discussed.
"This will be an extremely important visit for us and India," he said.