Shem is named first among Noah's sons in the biblical Ark story. Genesis 5:32 lists Noah's sons as Shem, Ham, and Japheth, and Genesis 7:13 repeats that order when describing the family entering the ark.
The order is a textual detail, not necessarily a complete statement about birth order. Elsewhere, Genesis provides genealogical material connected with all three sons, and interpretations of their relative ages can vary. The question asks which name appears first in the relevant lists, for which the answer is Shem.
Canaan is a common distractor because Genesis later discusses Canaan in the story involving Noah and Ham, but Canaan is identified as Ham's son, not one of Noah's three sons. Japheth and Ham are also direct sons of Noah, yet both are listed after Shem in the Genesis sequences associated with the ark.