Pope Francis's appeals to "fight this scourge" have fallen on deaf ears, particularly in France, an appeal in Témoignage Chrétien, a paper founded by Catholic resistance fighters during World War II, declares.
"Today in our country the Catholic Church thinks it is enough to repeat the words of the pope without taking any significant initiative to look into the crimes ... and especially their insitutional and structural causes," it says.
The Church itself cannot be judge and accuser, the appeal argues, and is subject to the law, notably since it receives public funds for its charitable works.
"We do not want to stir up a scandal but to end an immense one," it concludes. "That of the deafening silence of the Catholic hierarchy faced with suffering which has, for the most part, been consciously ignored or even concealed for too long."
MPs back call
Among the signatories are former environment minister Roselyne Bachelot, high-profile lawyer William Bourdon and monk and psychiatrist Laurent Lemoine.
For the call to be taken up parliamentarians must back it and Senator Laurence Rossignol and MP Marie-Pierre de Gontrie, both Socialists, and Jacques Maire, an MP for the ruling Republic on the Move, have already done so.
It remains unclear whether the Church would cooperate, which might mean opening up its archives and allowing priests and bishops to be questioned.
The Archbishop of Paris, Michel Aupetit, told Sunday's Le Parisien newspaper that he was not opposed to the idea.