The private event is being hosted by the ambassador of France, Francois Richier tomorrow and French-origin actress Kalki Koechlin is also one of the invitees.
"The Bollywood celebrities have been invited to have lunch with the President. It is a private event. They will discuss films," French government sources said.
Shah Rukh, 50, has been accorded the Ordre des Arts et des Lettres award by the French government for his "exceptional career" in 2007, In 2014, he was conferred the Legion of Honour, France's highest civilian award.
Hollande is on a three-day visit to India and the French President will be the Chief Guest at the Republic Day celebrations here tomorrow.