Anouar Kbibech, president of the French Council for the Muslim Religion (CFCM), said the country's imams should be given a certificate - "like a driving licence" - that ensured they promoted a "tolerant and open Islam".
The CFCM said it would hand out the permits by testing theological knowledge and adherence to French principles, and make them sign an "imams' charter" in which they agreed to "respect the laws of the Republic".
"The time for action has come. The Muslims of France will play their part," said Kbibech.
He also said the CFCM would set up a "religious council" that would challenge jihadist ideology using theological arguments.
Coming 11 days after the attacks that killed 130 people in Paris, Kbibech said those who engaged in violence would "never have the support of France's Muslims".