Kumar essayed a gamut of roles, including a villager, a suave urbanite, a Bengali gentleman and a swashbuckling hero, before moving to pay older, supporting roles in the 1970s, Mr Desai said.
"More than his list of films and his box office popularity, Dilip Kumar reflected India's political and social evolution through his films," he said. "As independent India grew, prospered, ran into difficulties and faced challenges, Dilip Kumar's roles told the story as it unfolded."
Kumar was honoured with prestigious film awards and two of India's highest civilian awards.
He married Saira Banu in 1966 - the two starred together in several hit films. Kumar last appeared in a film in 1998.