Speaker Mubarak Gul however, did not entertain the plea, saying the matter has already been discussed and debated by the Indian Parliament; hence the state assembly need not pass such resolution.
Agitated members of the BJP and JKNPP staged a walk out.
JKNPP legislature party leader Harsh Dev Singh criticised the government's attitude on the issue.
He said the Omar Abdullah government was adopting "double standards" as the government discussed Afzal Guru's hanging but denied the permission to pass a resolution against Pakistan in national interest.
India had hit back at Pakistan on Friday after it denounced Afzal Guru's execution a day earlier, with the Parliament passing a resolution against Islamabad and the government scrapping a bilateral hockey series.
Rejecting the interference by Pakistan in India's internal affairs, the Parliament said it should "desist from acts of support for extremists and terrorists".