The octogenarian leader was admitted at the Bethany Hospital last night and he died just before midnight, family members said.
Born on May 7, 1928, Kyndiah was survived by his two daughters, three sons and a number of grandchildren. He retired from active politics in 2009.
The former Minister of Tribal Affairs had also been elected to the state Legislative Assembly from 1975 to 1988 where he had served as the Speaker, Acting Chief Minister and Leader of Opposition.
Kyndiah had also authored books such as 'Jawaharlal Nehru: The Thinking Dynamo', 'Meghalaya: Yesterday and Today', 'Mizo Freedom fighters, Pillars of Mizo society besides others.