The 1919–20 Michigan Wolverines men's basketball team represented the University of Michigan in intercollegiate basketball during the 1919–20 season. The team compiled a record of 10–13, and 3–9 against Big Ten Conference opponents. The University of Chicago won the Big Ten championship with a 10–2 record in conference play. Michigan finished in seventh place out of ten teams. E. J. Mather was in his first year as the team's coach, and Ralph O. Rychener was the team captain.

Edwin J. Mather was an American football and basketball player and coach. He was selected as an All-Western football player while playing for Lake Forest University in 1909 and went on to a coaching career at Kalamazoo College (1911–1916), Lake Forest (1916–1918), and the University of Michigan (1919–1928).