The incident occurred on Tuesday in western France as Hollande was speaking during the opening ceremony of a high-speed train line between Bordeaux and Tours.
His speech was suddenly interrupted by the sound of a gunshot. "I hope it's nothing serious. I think not," said Hollande before carrying on with his speech.
According to reports, the shot was fired accidentally by a sharpshooter who had forgotten to engage the safety on his rifle. The stray shot hit a tent where refreshments were being prepared for those attending the ceremony, injuring a head waiter and an employee of the railway company.
After completing his speech, Hollande met with the wounded who were being treated on site. An investigation has been launched into the incident.