Olaf I of Denmark (Danish: Oluf Hunger) (c. 1050 – 18 August 1095) is king of Denmark from 1086 to 1095, following the death of his brother Canute IV the Saint.

He is a son of king Sweyn II Estridsson, and the third of Sweyn's sons to rule.

He marries Ingegard, the daughter of Harald Hardråde, but does not have any children.

He is succeeded by his brother Eric I Evergood.