He added that history was full of examples where the opposition to such laws had failed.
In a series of tweets, Prasad said many Muslim women had met him and requested for a stringent penal provision against the practice of "talaq-e-biddat" or instant triple talaq.
"Many major Islamic countries have done away with this practice. Why should a secular country like India not abolish it?" he asked.
He added that over 300 cases of instant triple talaq were reported in 2017, of which more than 100 were reported after the Supreme Court judgment in August, declaring the practice unconstitutional.
"Triple talaq was taking place even after the Supreme Court had called it unconstitutional. To safeguard the women victimised by (instant) triple talaq, it was important to make a law that provides penal action against those who practised it," Prasad said.
While the Muslim Women (Protection of Rights on Marriage) Bill, 2017 was passed by the Lok Sabha in the just-concluded Winter session, it could not be passed in the Rajya Sabha amidst demands by a united opposition to refer it to the Select Committee for a detailed scrutiny.