The 1905 Penn State football team was an American football team that represented Pennsylvania State College—now known as Pennsylvania State University–as an independent during the 1905 college football season. The team was coached by Tom Fennell and played its home games on Beaver Field in State College, Pennsylvania.

The 1905 college football season had the Chicago Maroons retroactively named as national champion by the Billingsley Report, the Helms Athletic Foundation, the National Championship Foundation, and the Houlgate System, while Yale was named champion by Parke H. Davis and Caspar Whitney. Chicago finished the season 11–0, while Yale finished 10–0. The Official NCAA Division I Football Records Book listed both Chicago and Yale as having been selected national champions.