A six-member bench, led by the Chief Justice Syed Mahmud Hossain, passed the order after hearing an appeal filed by the hospital authorities.
On July 21, Chamber Judge Justice Md Nuruzzaman stayed the High Court order.
Earlier on July 14, the HC directed the hospital authorities to pay the victims within 15 days.
Also read: 5 killed in United Hospital fire
The court did not issue any order over the family of Monir Hossain, who was also killed in the fire, as they settled the matter through out-of-court negotiations with the hospital authorities.
On May 27, a fire broke out at the coronavirus isolation unit of the United Hospital that killed four men and one woman.
A case was filed against the hospital authorities with Gulshan Police Station on charge of "death by negligence".
Also read: SC stays order on providing compensation to United Hospital fire victims