The tornado lasted for about 10 minutes, but left a trail of destruction.
The injured were admitted to Bishalgarh hospital and Agartala Government Medical College in Agartala.
A 60-year-old cultivator was electrocuted when he came in contact with a live wire uprooted by the storm at Dharmanagar in North Tripura district, about 195 km from Agartala.
The government has opened three relief camps in Bishalgarh sub-division and security forces and civil defence volunteers were engaged in rescue works.