The boat carrying around 50-55 people mostly daily labourers and farmers capsized in midstream in inclemnet weather after it left Dharampur for the char (riverine island), Malda District Magistrate G Kiran Kumar told PTI.
Two bodies have been recovered while 14 persons were missing.
The District Magistrate said 31 people swam to safety while six others were rescued by the local people.
Earlier reports had said that four persons had died and more than 40 were missing. Kumar said the weather was very bad and there were strong winds when the boat capsized.
Kumar said a Disaster Management team was coming to Malda from Kolkata to carry out rescue operation. Three camps have also been opened at Dharampur, Panchanandapur and Farakka downstream of the river.
The District Magistrate also announced an ex-gratia of Rs two lakh to the next of kin of the two decased.