Party's chief spokesman Randeep Surjewala said the incident was such a "shocking" one that the chief minister besides ordering an inquiry, should personally apologise to the man.
"Is this the Odisha that BJD promised for the people, where even basic dignity is denied to the people?" he wondered.
Authorities today ordered a probe to ascertain the circumstances which led to the incident.
The 42-year-old woman had died of TB at the district headquarters hospital at Bhawanipatna.
Majhi has said despite all efforts, he failed to get any help from hospital authorities and had no other alternative than to wrap the body in a cloth and start walking to his village Melghara in Rampur block, about 60 km from Bhawanipatna.