Congdon, a captain in 17 Tests, had been in declining health for some time.
In total, Congdon played 61 Tests in a 13-year career, scoring 3,448 runs at an average of 32.22 with seven centuries. He also took 59 wickets.
He played in 11 one-day internationals, including New Zealand's first in the format in 1973 against Pakistan.
His average of 56.33 in ODIs is still the best for a New Zealand batsman with a minimum of 10 innings.
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Congdon's 176 against England at Trent Bridge in 1976 was his most famous Test innings. He was struck in the face by England fast bowler John Snow when he was on 24 but went on to lead New Zealand to the brink of a remarkable win. New Zealand reached 440, chasing 479 to win.
"He's left a real legacy in terms of putting New Zealand cricket on the map.