"My trip will be for a minimum for 15 days", he told reporters at the airport.
He declined to take further questions.
The actor has been visiting the Himalayas every year during which he usually meets spiritual leaders.
This is Rajinikanth's first trip to the Himalayas after his announcement in December 31 last year that he would enter politics.
The actor, who espoused a new line of "spiritual politics, had said his (yet-to-be named) party would contest all 234 seats in the next Assembly polls, due in 2021.
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He had assserted that there was a leadership vacuum in Tamil Nadu and that entered politics to fill that space.
The actor had again said he would follow 'spiritual governance' that would have no discrimination based on caste or creed.
The event at medical college that day came days after his contemporary Kamal Haasan launched his political party 'Makkal Needhi Maiam' in Madurai.