In the biblical Noah's Ark story, Ham was the father of Canaan.
Genesis identifies Ham as one of Noah's three sons, alongside Shem and Japheth. After the Flood, the text lists Ham's sons as Cush, Mizraim, Put, and Canaan. Thus Canaan is presented in the genealogy as Ham's son and Noah's grandson.
This detail is often confused with the later episode involving Noah's drunkenness and the actions of his sons. Genesis 9 describes a curse directed at Canaan, not a statement that Ham himself was cursed in the same wording. The passage has a complicated history of interpretation, especially because later readers wrongly used it to justify racism and slavery.
In the narrative's family structure, Ham's line is one branch of the post-Flood generations. Shem's descendants are associated with several Near Eastern peoples, while Japheth's genealogy is presented separately. The question asks for the direct parent named in Genesis, not for a later national identity or an interpretation of the curse episode.