The debate on Guru began after the speaker adjourned the house for 10 minutes.
Peoples Democratic Party (PDP) leader Mehbooba Mufti started the debate saying it was "inhumane" that the family of Afzal Guru was not allowed to meet him the last time.
She sought suspension of all the regular business of the house to "discuss this issue of urgent nature".
The ruling National Conference and Communist Party of India-Marxist too wanted discussion on the issue.
Afzal Guru was hanged to death on Feb 9 after he was found guilty of plotting the attack on the Indian parliament Dec 13, 2001.
His family was informed through speed post which was delivered to his family 48 hours after his execution. He was buried in Delhi's Tihar jail.
His family and major political groups in Kashmir are asking for the return of the body of Afzal Guru.
The issue of this debate had also created fissures between the two ruling parties the National Conference and the Congress. While the NC was in favour of the debate, Congress was opposed to it.