"India will vote Narendra Modi as the Prime Minister. Nobody needs to jump into the sea because of that," Jaitley said in a blog.
"But if Farooq Sahib and his party are silent spectators, when the Kashmiri Pandits cannot go back home, he should, as a gesture of repentance, at least take a dip in the Dal Lake," he said.
BJP spokesperson Nirmala Sitharaman asked why the National Conference did not want secularism in the constitution of Jammu and Kashmir.
"Dr Abdullah must answer why in Jammu and Kashmir, the constitutional amendment making India into a secular republic, is not acceptable to him there," she said.
The word "secular" was added to the preamble of the Indian constitution by an amendment in 1976.