The bishops' comments coincided with a call from France's Muslim Council for the Government to denounce what it said was a proven rise in anti-Muslim attacks.
Angoulême Bishop Claude Dagens, a member of the prestigious Académie Française, said it pained him to see anti-Muslim feelings growing among Catholics.
"We are living in a society where fear is seeping into every corner," he told journalists during the bishops' plenary meeting in Lourdes last week.