The second term assemblyman from Umno passed away at 10.18am and will be buried at Masjid Teluk Bayu cemetery in Kuala Besut later today.
Dr A. Rahman, 55, was appointed to a second term as the health, women's development, family and community exco chairman after the general election.
He was admitted to the hospital last week and warded in the intensive care unit (ICU) after complaining of chest pains.
Dr A Rahman was a senior member of the state Barisan Nasional and one of only four who were retained in the state exco lineup.
He defended the Kuala Besut state seat by beating PAS' Napisah Ismail by 2,434 votes in the May general election.