The JaSaD leader died at a Dhaka hospital on Friday morning, his family said
He walked out of Feni jail after a copy of the High Court’s bail order reached there on Thursday.
Ekram, former Phulgazi Upazila chairman, was killed in a daylight attack on May 20 in Feni town.
His brother filed a case in the day naming Minar as the prime suspect.
Minar was arrested on May 27 in Dhaka and had been kept at the Feni jail since June 4.
He was treated at a Dhaka hospital as his health had deteriorated.
The BNP leader had heart and other ailments.