The incident occurred when a group of construction workers were making the boundary wall of the house yesterday.
Police and fire service personnel rushed to the spot and recovered three bodies from the debris. Four injured persons were also rescued from the debris.
The injured were admitted to the Agartala Government Medical College where condition of three was stated to be critical and one injured were released after first aid.
Police said it was an illegal construction and house plan was not passed by the Agartala Municipal Corporation.