Attorney General (AG) Mukul Rohatgi would argue the matter next on May 15.
However, All India Muslim Personal Law Board (AIMPLB) counsel Kapil Sibal told the apex court that triple talaq is a matter which comes under the Muslim board and therefore, in his opinion the top court should not interfere into it.
"The Central Government makes rules but in my opinion the apex court should not interfere into it," Sibal said.
Earlier in the day, the apex court observed that it would examine whether the issue is fundamental to religion or not.
A five-judge bench of the apex court further observed that it would not hear polygamy issue along with the triple talaq case.
The apex court is hearing several pleas filed by Muslim women rejecting the practice of triple talaq.
Relentless debates on the validity and plausibility of this practice were instigated soon after one petitioner, Shayara Banu, challenged the Muslim personal law over instantaneous application of triple talaq (talaq-e-bidat), polygamy and nikah-halala.
Supporting the stance of ending the practice of triple talaq, the Allahabad High Court had earlier asserted that the rights of any person, including Muslim women, cannot be violated in the name of 'personal law'.
In December last year, the Allahabad High Court termed the Islamic practice of divorcing a woman by uttering the word "talaq" thrice "unconstitutional".
The court further observed that triple talaq sanctioned under Muslim Personal Law that governs marriage, property and divorce violates the rights of Muslim women.
"Triple talaq is unconstitutional. It violates the rights of Muslim women," ruled the high court, adding that no personal law board was above the Constitution.