He was admitted to the government-run SSKM hospital for the last few days and died during the day, the family said.
Born in 1924 at Barisal in Bangladesh, Brahma had studied in Kolkata where he also had the opportunity to work under the likes of Nandalal Bose and Lakshmeshwar Singha at Santiniketan.
His mural paintings now grace the walls of Parliament in New Delhi.
Brahma was also the head of the department of Indian style of painting at the Government College of Art where he taught Neo-Bengal tradition of painting.
West Bengal Chief Minister Mamata Banerjee expressed her condolences to the family saying it was a great loss to the world of painting.
"I express my heartfelt condolences to his family. I pray for the departed soul," she said in a message.
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