Dhaka District and Sessions Judge Md Helal Chowdhury issued the warrant after Mazed was taken to the court on Wednesday.
Mazed was arrested in Mirpur on Tuesday, four decades after the murder.
The court has stopped its regular activities like other offices in the country during the lockdown imposed to prevent the coronavirus epidemic from spreading. It is only addressing the emergency issues.
While courts, like most other institutions, have remained closed during the coronavirus lockdown, the Dhaka District and Sessions Judges Court convened on Wednesday with special permission from the Supreme Court to issue the death warrant.
“Initially, the court was unable to take action against Mazed,” Mohammed Saifur Rahman, spokesperson of the apex court, told bdnews24.com.
The jail authority will now read out the death warrant to the convict, Lawyer Mosharraf Hossain Kazal, one of the counsellors of the state in the Bangabandhu murder case told bdnews24.com.
On whether Mazed can appeal against his sentence, Kazal said: "The time to file an appeal passed long ago. Moreover, he won't be able to cite any logical reasons for the failure to appeal within time. So there's no scope for an appeal at this stage."
The death sentence could be executed any day between Apr 21 and 28, according to the lawyer.