PARIS — French Interior Minister Bruno Le Roux resigned Tuesday a few hours after prosecutors opened an investigation into a report that he hired his two daughters for a series of temporary parliamentary jobs, starting when they were 15 and 16 years old.

President Francois Hollande said he had accepted Le Roux’s resignation after a meeting with Prime Minister Bernard Cazeneuve at the Elysee Palace.

France’s national financial prosecutor’s office opened a preliminary investigation Tuesday after TMC television reported Monday night that Le Roux employed his daughters as parliamentary assistants for a total salary amount of about $59,000.

The office said the preliminary investigation into the facts disclosed in the TV program is being led by the French police agency charged with fighting corruption and financial and tax wrongdoing.

While it is legal in France for politicians to hire family members, the TMC report suggests that Le Roux’s daughters did not perform all of the work.

Le Roux’s daughters, now 23 and 20, allegedly started working as parliamentary aides for their father over short vacation contracts when they were 15 and 16 and Le Roux was a lawmaker in the French National Assembly.

‘‘These temporary and official contracts, in accordance with the legal rules of the National Assembly, all corresponded, of course, to works actually carried out,’’ Le Roux insisted as he resigned.

Associated Press