According to Genesis, eight people from Noah's family entered the Ark.
Genesis names Noah, his wife, his three sons, and the wives of those three sons. Together, that makes eight people. Genesis 7:13 describes this group entering the Ark before the Flood, and later biblical passages also refer to eight people being preserved through the waters.
The three sons are named Shem, Ham, and Japheth. Their wives are not named in Genesis. Noah's wife is likewise unnamed in the biblical account, although later traditions give her different names. Those traditional names should not be counted as additional people.
The number eight refers only to human occupants in the Genesis story. It does not include the animals, which are described separately. Some retellings use illustrations with many more people or merge details from later traditions, but the explicit family total in Genesis is eight. This makes the answer a precise count of the named family structure rather than an estimate of everyone connected with Noah.