Henry, son of Robert I of Burgundy

Henry of Burgundy (c. 1035 – January 27, 1070/1074), called the Gallant (le Damoiseau), was the eldest surviving son and heir of Robert I, Duke of Burgundy and his wife, Helie of Semur, and a grandson of King Robert II of France, thus making him a member of the House of Capet through its Burgundy cadet branch. Little is known about his life and he died shortly before his father, and thus was never duke himself. Two of his sons became dukes in succession after his father's death, while a third son became Count of Portugal through his marriage to Theresa, daughter of King Alfonso VI of León and Castile.

The name of Henry's wife is not known, though both Sibylla and Clémence have been suggested. The first of these derives from an undated obituary from Besançon, Sainte-Etienne, naming "Sibilla, mater ducus Burgundie" (Sibylla, mother of the Duke of Burgundy), it being reasoned that since she is not called duchess, she must have been married to the sole father of a duke who was not a duke himself, Henry. However it has been argued by Jean Richard that this is a reference to Sibylla of Burgundy, Duchess of Burgundy, mother of the then-ruling duke, Hugh II. Richard proposed based on the name's repeated use among the descendants of her son Odo I, Duke of Burgundy that she may have been named Clémence, although Odo's wife had a sister, Clementia of Burgundy, who could have been the inspiration for its use among their descendants. Based on the use of the byname Borel by Odo I, genealogist Szabolcs de Vajay proposed that his mother was the daughter of Berenguer Ramon I, Count of Barcelona and his third wife, Guisle of Lluca, and hence granddaughter of count Ramon Borrell, although there is no documentary evidence that this was the case. Henry's wife died on or after July 6, 1074.