The 1905 Chicago Maroons football team was an American football team that represented the University of Chicago during the 1905 Western Conference football season. In coach Amos Alonzo Stagg's 14th year as head coach, the Maroons finished with an 11–0 record, shut out 10 of 11 opponents, and outscored all opponents by a total of 271 to 5. The team played its home games at Marshall Field on the school's campus.

Amos Alonzo Stagg was an American athlete and college coach in multiple sports, primarily American football. He served as the head football coach at the International YMCA Training School (1890–1891), the University of Chicago (1892–1932), and the College of the Pacific (1933–1946), compiling a career college football record of 314–199–35 (.605). His undefeated Chicago Maroons teams of 1905 and 1913 were recognized as national champions. He was also the head basketball coach for one season at Chicago (1920–1921), and the Maroons' head baseball coach for twenty seasons.