From 1990 to 1994, Moeller led the Wolverines to five seasons with a 44-13-3 record, including a 4-1 record in bowl games. His time at Michigan reached its peak with a January 1, 1993, Rose Bowl victory against Washington. Three Big Ten titles were won by the team under his direction.

Before taking over as head coach of the Wolverines in place of Bo Schembechler, Moeller spent eighteen years as an assistant coach at Michigan (1969–76, 1980–89). For three seasons (1977–1979), Moeller was the head coach at Illinois as well, where he had a 6–24–3 record.

Later in his career, he replaced Bobby Ross as the NFL’s Lions’ temporary head coach, leading the team to a 4-3 finish at the close of the 2000 campaign. In addition, he worked as an NFL assistant for the Bengals, Jaguars, and Bears in addition to Detriot.

To begin Moeller’s head coaching career at Michigan, the Wolverines finished in the top 10 of the AP for three straight seasons, with a No. 5 rating in 1992. Under Moeller, Desmond Howard took home the Heisman Trophy in 1991. Days after being jailed in Southfield, Michigan for disorderly conduct and assaulting a police officer, Moeller tendered his resignation.

Moeller started his collegiate coaching career under Schembechler at Miami of Ohio in the late 1960s after playing at Ohio State under head coach Woody Hayes in the early 1960s.

The children of Moeller, including Andy, a former linebacker and captain for the Wolverines, and Susan, Amy, Molly, and Ann, his wife, survive him. The funeral will take place in Lima, Ohio, the hometown of Moeller, on Saturday.