Olaf I of Denmark (Danish: Oluf I Hunger) (c. 1050 – 18 August 1095) was king of Denmark from 1086 to 1095, following the death of his brother Canute IV the Holy. He was a son of king Sweyn II Estridsson, and the third of Sweyn's sons to rule. He married Ingegard, the daughter of Harald III of Norway, but did not have any children. He was succeeded by his brother Eric I Evergood.