He breathed his last around 10:05am while undergoing treatment at Square Hospitals, said his son-in-law Jamal Uddin.
Habibur Rahman was admitted to the hospital with respiratory problems and kidney complications, he added.
President Abudul Hamid, Prime Minister Sheikh Hasina, Deputy Leader of Parliament Syeda Sajeda Chowdhury and Road, Transport and Bridges Minister Obaidul Quader mourned the death of Habibur Rahman Mollah.
In a condolence message, President Abdul Hamid expressed deep shock and sorrow at his death and prayed for the salvation of his departed soul.
The President described him as a leader of mass people and said his demise has created a vacuum in the county's political arena.
He expressed deep sympathy to the bereaved family members.
In a separate message, Prime Minister Sheikh Hasina also expressed deep shock and sorrow at the death of the Awami League MP and also valiant freedom fighter.
The Prime Minister recalled with profound respect Habibur Rahman Mollah's contributions to the great Liberation War and politics.
The Prime Minister also said his contributions to politics and the welfare of people will ever be remembered.
Sheikh Hasina prayed for the eternal peace of the departed soul and conveyed profound sympathy to the bereaved family members.