The 80-year-old veteran politician was accompanied by Provincial President Jammu Devender Singh Rana, a statement said.
Abdullah prayed at the dargah and took a round of the sanctum sanatorium, it said.
He also offered a chhadar, a ceremonial cloth inscribed with religious verses, and flowers at the acclaimed saint's mausoleum in the dargah.
Abdullah prayed for universal peace and communal harmony, prosperity and well-being for the people of the country.
He prayed for the progress and prosperity of the people of the state and the country.
He prayed for the success of country's multicultural diversity and the state's pluralistic ethos.