The 1904 Bethany Terrible Swedes football team represented Bethany College as an independent during the 1904 college football season. Led by Bennie Owen in his third and final season as head coach, the Terrible Swedes compiled a perfect record of 7–0. Bethany beat Oklahoma, 36–9, in the season finale.

The 1904 college football season had no clear-cut champion, with the Official NCAA Division I Football Records Book listing Michigan, Minnesota, and Penn as having been selected national champions.