District Magistrate Tanmoy Chakraborty said the storm struck around 6 am and damaged houses and crops at Habibpur, Bamangola, Gazole, Chanchal 2 block and Ratua.
The two men died due to collapse of mud walls and a number of people were injured, he said.
A 60-year-old died in the storm at Bagdighi in Gazole while guarding a pond. The other person to die was a 10-year-old resident of Bishanpur of Chanchal 2 block, he said.
The injured were treated in local hospitals and tarpaulin and food was distributed among the affected. Proposal for ex-gratia to the kin of the dead, compensation for crop and house damage is being sent to the state government, the district magistrate added.