A bench of Chamber Judge Justice Md Nuruzzaman stayed the order and fixed August 16 to hear the appeal in a regular bench of the Appellate Division.
Earlier on Monday, the hospital authorities filed an appeal with the Appellate Division seeking stay on the HC order.
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On July 14, HC directed the hospital authorities to pay the victims within 15 days.
The court did not issue any order regarding the family of Monir Hossain, who was also killed in the fire, as they had settled the matter through discussions with the hospital authorities.
On May 27, a fire broke out in the coronavirus isolation unit of United Hospital that killed four men and a woman.
A case was filed against the hospital authorities with Gulshan Police Station on charge of "negligent death".
Read Also: 5 patients’ death in fire: United Hospital sued on negligence charge