Frank Irving Cleve (December 20, 1899 – August 12, 1970) was an American football, basketball, and baseball coach and minor league baseball player. He served as the head football coach at Concordia College in Moorhead, Minnesota from 1926 to 1935, compiling a record of 30–30–13. Cleve was also the head basketball coach at Concordia from 1927 to 1936, tallying a mark of 86–84. Cleve died on August 12, 1970, at South Fairview Hospital in Edina, Minnesota, following an illness that began in January of that year.