"I am not Rambo type of personality. I do not have that kind of potential," he told reporters emerging from "Janata Ke Darbar me Mukhya Mantri" programme.
Amid reports that Modi had rescued 15,000 Gujarati pilgrims from Uttarakhand, Congress had termed the senior BJP leader 'Rambo'.
Kumar dismissed BJP's allegations that unlike other states, the Bihar government did not take timely action to assist Bihar pilgrims.
"As soon as we got to know of the tragedy, the state government deputed a team of senior officials to coordinate relief and rehabilitation action there," he said adding he himself talked to his Uttarakhand counterpart Vijay Bahuguna and contributed Rs 5 crore in the relief fund.
"I myself presided over several meetings of state disaster management team and gave necessary direction to help the stranded devotees," he said.
On the allegation levelled by his former NDA partner, Kumar said, "This is nothing but a reflection of low level politics practised by them. Natural calamity and human tragedies should not be part of politics. It should not be an issue of finger pointing on each other."
He said everybody has their own character. "But, I can not stoop to such low level on such humanitarian issue like them."