In its first season under head coach Martin F. Angell, the team compiled a 5–1–1 record and outscored opponents by a total of 90 to 45.
Wales A. Smith was the team captain.
[1] Coach Angell was a professor of physics and mathematics.
[2] The roster of the 1905 University of Mexico football team included the following players: Sources:[3][4][6][5][9][11]
This college football 1905 season article is a stub.