Five of the six militants were identified as Nibras Islam, Rohan Imtiaz, Meer Sabeh Mubasheer, Khairul Islam Payel and Saiful Islam while another was unknown.
The bodies of the six attackers are kept at the Combined Military Hospital in Dhaka, The Daily Star reported.
Police said only Saiful's family verbally wanted to take his body but the law enforcers are yet to receive any written application from them.
Gunmen killed 22 people including 17 foreigners and two policemen shortly after taking hostage a number of diners at Holey Artisan Bakery on July 1.
Six militants were also killed when security forces stormed the cafe to end the hostage crisis incident on July 2.