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Eudes-Henry (also Odo, or Eudes-Henri; 946 – 15 October 1002), called the Great, was Count of Autun, Avallon, and Beaune and Duke of Burgundy from 965 to his death. He was the second son of Hugh the Great, Count of Paris, and Hedwige of Saxony and thus the younger brother of King Hugh Capet.

As Odo, he entered the church at a young age and was a cleric at the time of the death of his brother Otto, Duke of Burgundy, on 22 February 965. He was elected by the Burgundian counts to succeed his brother and they gave him the name Henry.

In 973, he married Gerberga of Mâcon, the widow of Adalbert II of Italy, who had sought refuge at Autun. Through Gerberga, he had a stepson named Otto William. He married a second time to Gersenda, daughter of William II of Gascony.

He died without any children of his own by his two wives and was succeeded by his stepson. His illegitimate children may be the progenitors of the line of the counts of Vergy.