At age 102, he was the last of Vietnam's old-guard revolutionaries.
Giap died this evening in a military hospital in the capital of Hanoi where he had spent close to four years growing weaker and suffering from long illnesses, a government official and a source close to Giap said.
Both spoke on condition of anonymity because his death had not been formally announced.
The so-called "red Napoleon" stood out as the leader of a ragtag army of guerrillas who wore sandals made of car tires and lugged their artillery piece by piece over mountains to encircle and crush the French army at Dien Bien Phu in 1954.
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The unlikely victory, which is still studied at military schools, led not only to Vietnam's independence but hastened the collapse of colonialism across Indochina and beyond.
Giap went on to defeat the US-backed South Vietnam government in April 1975, reuniting a country that had been split into communist and noncommunist states. He regularly accepted heavy combat losses to achieve his goals.
"But we still fought because for Vietnam, nothing is more precious than independence and freedom," he said, repeating a famous quote by Ho Chi Minh.
Giap remained sharp and well-versed in politics and current events until he was hospitalised. Well into his 90s, he entertained world leaders, who posed for photographs and received autographed copies of his books while visiting the general's shady colonial-style home in Hanoi.
Born August 25, 1911, in central Vietnam's Quang Binh province, Giap became active in politics in the 1920s and worked as a journalist before joining the Indochinese Communist Party.