Le Monde, a leading French newspaper, reports that France's Foreign Intelligence Service, Direction Generale de la Securite Exterieure, monitors online communications of its people in France and other parts of the world.
The French surveillance program collects massive communication data by using spy satellites and listening stations in its former colonies such as Djibouti, according to the French newspaper.
However, the paper didn't disclose the source of the leaks. The French government is yet to make a comment.
The data is placed on a supercomputer at the headquarters of the Direction Generale de la Securite Exterieure (DGSE) intelligence service and the operation is "outside the law and beyond any proper supervision," according to the news paper.
Other intelligence agencies like military intelligence, domestic intelligence, Paris police and a special financial crimes task force allegedly access the data secretly, reports Le Monde.
Like the U.S. National Security Agency's surveillance programs, DGSE was also set up for tracking terrorist activities.
France earlier expressed outrage against the U.S. National Security Agency's surveillance programs of spying on European officials in the United States and Europe.
Officials at the DGSE's headquarters in Paris have been refusing to respond to the media since Thursday.
The French intelligence spying report comes days after France refused permission to the Bolivian president's jet to cross its airspace on suspicious of the American whistleblower Edward Snowden being aboard the plane.