Marina Ferrari, secretary of state in charge of digital affairs, posted on X that damage in several regions overnight on Sunday to Monday affected telecommunications operators.
She said that led to localised impact on access to fibre lines and fixed and mobile telephone lines.
Paris 2024 Olympics organisers would not immediately comment.
A French police official said at least six of France’s administrative departments were affected, which include the region around the Mediterranean city of Marseille, hosting Olympic soccer and sailing competitions.
Telecom operators Bouygues and Free confirmed their services were affected.
French media reports said lines operated by provider SFR also were hit. The parent company of Free said its teams are mobilized to restore services.