The French intelligence service, the DGSI, said the six people were arrested in three separate areas: Isère, southeast of Lyon. Moselle, on the border with Germany and Luxembourg. and Ille-et-Vilaine, in the northwest near the town of Rennes.
Suspects include five men and women between the ages of 22 and 62, a judicial source close to the investigator told CNN. Everyone has links to the far right, the interior ministry said in a statement.
"The investigation looks at a vague and loosely formed plan for violent action against the President of the Republic," said the source of justice, which declined to be called to discuss a continuing investigation.