Shiv Sena leader in the Lok Sabha Anant Geete made the request to the Speaker and Parliamentary Affairs Minister Kamal Nath after the issue was raised by Leader of the Opposition Sushma Swaraj.
NCP chief and Agriculture Minister Sharad Pawar backed the proposal, sources said.
There have been precedents of adjournment of Parliament for the day as a mark of respect to personalities who have not been members of either House.
Sources said Geete cited the instances of CPI(M) veteran E M S Namboodiripad and Jana Sangh chief Deen Dayal Upadhyay in this regard.
Both the Lok Sabha and the Rajya Sabha will be making obituary references to Thackeray tomorrow.