The 1956 South Dakota Coyotes football team was an American football team that represented the University of South Dakota as a member of the North Central Conference (NCC) during the 1956 college football season.
In their first season under head coach Ralph Stewart, the Coyotes compiled a 4–4 record (4–2 against NCC opponents), tied for second place out of seven teams in the NCC, and were outscored by a total of 146 to 140.
[1] They played their home games at Inman Field in Vermillion, South Dakota.