In an appeal published in the Journal du Dimanche newspaper, around 60 signatories -- among them writers, musicians, businessmen and sports personalities -- penned a strongly-worded denunciation of the attacks on the French leader, urging an immediate halt to what they termed "Hollande bashing".
The appeal comes as France heads into a crucial 2017 election campaign with the left bitterly divided and the right under pressure from the growing popularity of the far-right.
Hollande is the most unpopular French president since World War II, his five-year term in office overshadowed by stubbornly high unemployment and U-turns on key policies and several devastating terror attacks.
He has said he will decide by the end of the year whether to seek re-election.
The letter said: "This ongoing denigration jeopardises all our national institutions and the office of president."