Henry Morgan (died 1632) was a Welsh politician who sat in the House of Commons in 1601.
Morgan was the eldest son of Henry Morgan of Llandaff and Penllwyn-Sarth. In 1601, he was elected Member of Parliament for Monmouthshire. He was High Sheriff of Monmouthshire in 1603.
Morgan married Cicely Welsh, daughter of Arnold Welsh of Llanwern.