But animal rights group PETA said they took a dim view of the birth of the chicks, the first of which emerged on Tuesday.
"There is nothing to celebrate in the birth of this chick born alone in a museum," the organisation said in an open letter to the artist.
"Considered merely as a part of an 'artistic' performance, it will never meet its mother.
"Animals have no place in art," it added.
His father Christian told AFP that he had made them a luxury hen house on his Normandy smallholding where they would live out their natural lives.
Chicks won't be eaten
Poincheval senior, an inventor best known for his pills which make farts smell of roses, promised the chicks would never end up in the pot.
"I can assure you that they will never be the centrepiece of a grand feast," he added.
"It has been really tough for him. He has slept sitting on the eggs. It's been a lot harder than being shut inside the rock," the spokeswoman had earlier told AFP.
The 44-year-old artist is no stranger to bizarre performances.
He once spent a fortnight inside a stuffed bear eating worms and insects, was buried under a rock for eight days and navigated France's Rhone river inside a giant corked bottle.
His big dream, however, is to walk on the clouds.
"I have been working on it for five years, but it is not quite there yet," he said.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)