The Chief Minister had on Friday reportedly said "there would be deaths, where there is population", on the rising number of deaths in the state due to swine flu.
"By making such statements, the Chief Minister should not display his callous attitude and make a laughing stock of himself in front of the world," the BJP MP said in a statement in Shimla.
"A Chief Minister who gives such insensitive statements on death by disease like swine flu, has no moral right to stay in power and should resign immediately," he said.
The former BCCI president also attacked the State Election Commissioner for postponing Shimla Municipal Corporation polls, saying "people will back the BJP whenever the municipal corporation elections are held."
The State Election Commission had on May 9 postponed the Shimla Municipal Corporation polls following complaints of large-scale discrepancies in electoral rolls by political parties and candidates.