"President @fhollande and PM @narendramodi are at the Rock Garden in Chandigarh," the Prime Minister's Office tweeted.
During his stay in Chandigarh on Saturday, Hollande, along with Modi, will also attend a CEOs' Forum and the India-France Business Summit.
In the evening, the visiting dignitary will leave for New Delhi, where he will attend this year's Republic Day parade as the chief guest.
On Monday, Hollande and Modi will hold a bilateral dialogue following which a number of agreements will be signed.
The two leaders will inaugurate the Interim Secretariat of the International Solar Alliance (ISA) and lay the foundation stone ISA headquarter.
On Tuesday Hollande will attend the Republic Day parade on Rajpath as the chief guest, becoming the fifth serving French president to do so.