The JaSaD leader died at a Dhaka hospital on Friday morning, his family said
He was taken to the CMH on Tuesday morning after his condition worsened, said Momtaz Uddin Ahmed, assistant personal secretary to Shah.
"Sir (Hannan) was taken to the CMH at 9:45am. He is currently admitted at the Intensive Care Unit," he told bdnews24.com.
The 77-year-old former army officer was feeling unwell for the last few days.
ASM Hannan Shah was a Cabinet member in the BNP's government from 1991.