He was a former top military officer who rose to become the first African-American secretary of state in 2001 under Republican George W Bush.
"We have lost a remarkable and loving husband, father, grandfather and a great American," a statement said.
"We want to thank the medical staff... for their caring treatment," it added.
The statement said that he had been fully vaccinated against Covid.
Mr Powell became a trusted military adviser to a number of leading US politicians.
He also saw service and was wounded in Vietnam, an experience that later helped define his own military and political strategies.
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