One of the most contentious issues in the new legislation is that women are no longer required to obey their husbands.
Hadja Sapiato Dembele of the National Union of Muslim Women's Associations said the law goes against Islamic principles.
"We have to stick to the Koran," Ms Dembele told the BBC's Focus on Africa programme. "A man must protect his wife, a wife must obey her husband."
"It's a tiny minority of women here that wants this new law - the intellectuals. The poor and illiterate women of this country - the real Muslims - are against it," she added.
N'insulte-t-elle pas sa propre religion en disant que seules les illettrées en seraient de bonnes réprésentantes ?