The 1935–36 Michigan Wolverines men's basketball team represented the University of Michigan in intercollegiate basketball during the 1935–36 season. The team compiled a 15-5 record, and 7-5 against Big Ten Conference opponents. The team scored 700 points in 20 games for an average of 35.0 points per game – the highest point total and scoring per game in school history up to that time. Michigan finished tied for third place in the Big Ten.
^Rudness was inducted into the Upper Peninsula Sports Hall of Fame in 1975. He was the first 10-letter athlete at Negaunee High School and competed on the baseball and basketball teams at Michigan. He was twice selected as the captain of the baseball team. He died in February 1961.