"Saddened by the loss of lives caused by a stampede in West Bengal. My thoughts are with the families of the deceased," the Prime Minister tweeted.
"My prayers with those injured in the stampede in West Bengal. May they recover quickly," he added.
He approved ex-gratia from PM National Relief Fund (PMNRF) of Rs 2 lakh for next of kin of the deceased and Rs 50,000 for those injured in the stampede.
District officials said two pilgrims died on the spot and three, including the woman, in the hospital.
The stampede occured when there was a huge rush of pilgrims to board vessels to reach Kolkata, the officials said.