According to Genesis, Shem was the father of Aram. Genesis 10:22 lists Aram among Shem’s sons in the genealogy commonly called the Table of Nations.
Shem is one of Noah’s three sons, named alongside Ham and Japheth. Genesis 10 traces descendants from these three branches after the Flood, connecting them with various peoples and regions known to the biblical authors. The chapter is genealogical and ethnographic in purpose rather than a modern population map.
This question is separate from later traditions that associate Shem with particular ancestral lines, including the Israelites. Genesis 10 lists several sons and descendants, so names can be easily confused. Aram’s placement under Shem is the specific relationship stated in the chapter; it should not be confused with Canaan, who is listed among Ham’s descendants.