The 1904 Purdue Boilermakers football team was an American football team that represented Purdue University during the 1904 Western Conference football season. It was the Boilermakers' first season following the disastrous 1903 Purdue Wreck in which 14 players were killed. In their second season under head coach Oliver Cutts, the Boilermakers compiled a 9–3 record, finished in sixth place in the Western Conference with a 1–2 record against conference opponents, and outscored all opponents by a total of 176 to 66. D. M. Allen was the team captain.

Oliver Frost Cutts was an American football player, coach, and college athletics administrator. He served as the head football coach at Purdue University (1903–1904), the University of Washington (1905), and Bates College (1922–1923), compiling a career college football record of 23–18–3. Cutts was also the athletic director at Purdue from 1904 to 1905 and again from 1915 to 1918. He died on August 4, 1939 at his home in the Jamaica Plain neighborhood of Boston, Massachusetts.