The incident occurred around 11:30pm on Wednesday
A total of Tk 6 million was found in another chest and nothing in the other, they say.
A team of Detective Branch raided Bahar Market at Tamakumundi Lane and seized the chests from two rooms on Monday night.
One of the rooms was under CCTV camera surveillance, bdnews24.com Correspondent Uttam Sen Gupta said from the scene.
He said he saw police seize documents and computer hard disks from the rooms.
The residents of the building said one Abu Ahmad had rented the rooms to store footwear and bags.