Henry of Burgundy (1035 – c.1074) was the son and heir of Robert I, duke of Burgundy. He died shortly before his father and failed to succeed in Burgundy. He married Sibyl of Barcelona (c.1035 – July 6, 1074), daughter of Berenguer Ramon I, Count of Barcelona. Their children were:
• Hugh I, Duke of Burgundy (1057-1093)
• Eudes I, Duke of Burgundy (1058-1103)
• Robert, bishop of Langres (1059-1111)
• Helie, a nun (b.1061)
• Beatrice (b.1063), married Guy I, count of Vignory
• Reginald, abbot of St Pierre (1065-1092)
• Henry, Count of Portugal (1066-1112), who became a vassal of Castile and ruler of the county of Portugal in 1093; his son would be Alfonso Henriques, first king of Portugal