The Michigan Wolverines football team represents the University of Michigan in college football at the NCAA Division I Football Bowl Subdivision (FBS) level. Michigan has the most all-time wins in college football history. The team is known for its distinctive winged helmet, its fight song, its record-breaking attendance figures at Michigan Stadium, and its many rivalries, particularly its annual, regular season-ending game against Ohio State, known simply as "The Game," once voted as ESPN's best sports rivalry.

Michigan began competing in intercollegiate football in 1879. The Wolverines joined the Big Ten Conference at its inception in 1896, and other than a hiatus from 1907 to 1916, have been members since. Michigan has won or shared 45 league titles, and since the inception of the AP poll in 1936, has finished in the top ten a total of 39 times. The Wolverines claim twelve national championships, including three (1948, 1997, 2023) from the major wire-service: the AP Trophy and/or Coaches' Trophy.

From 1900 to 1989, Michigan was led by a series of nine head coaches, each of whom has been inducted into the College Football Hall of Fame either as a player or as a coach. Fielding H. Yost became Michigan's head coach in 1901 and guided his "Point-a-Minute" squads to a streak of 56 games without a defeat, spanning from his arrival until the season finale in 1905, including a victory in the 1902 Rose Bowl, the first college football bowl game ever played. Fritz Crisler brought his winged helmet from Princeton University in 1938 and led the 1947 Wolverines to a national title and Michigan's second Rose Bowl win. Bo Schembechler coached the team for 21 seasons (1969–1989) in which he won 13 Big Ten titles and 194 games, a program record. The first decade of his tenure was underscored by a fierce competition with his former mentor, Woody Hayes, whose Ohio State Buckeyes squared off against Schembechler's Wolverines in a stretch of the Michigan–Ohio State rivalry dubbed "The Ten Year War".

Following Schembechler's retirement, the program was coached by two of his former assistants, Gary Moeller and then Lloyd Carr, who maintained the program's overall success over the next 18 years, Carr winning a national championship in 1997. However, the program's fortunes declined under the next two coaches, Rich Rodriguez and Brady Hoke, who were both fired after relatively short tenures. Following Hoke's dismissal, Michigan hired Jim Harbaugh on December 30, 2014. Harbaugh is a former quarterback for the team, having played for Michigan from 1982 to 1986 under Schembechler. Harbaugh led the Wolverines to three consecutive Big Ten titles and College Football Playoff appearances during his final three years as head coach, from 2021 to 2023. His final team, the 2023 Michigan Wolverines won the program's first national championship since 1997, and first undisputed national championship since 1948 after beating Washington in the 2024 National Championship Game. Following the championship victory, Harbaugh left Michigan to return to coaching in the National Football League (NFL). Currently, the head coach position is held by Sherrone Moore, who had been on Harbaugh's coaching staff since 2018, and had been an offensive coordinator since 2021. He was the acting head coach for four games during the national championship-winning 2023 season. He won them all, including games against ranked opponents Penn State and Ohio State. The Wolverines promoted Moore on January 26, 2024, two days after Harbaugh's departure.

The Michigan Wolverines have featured 89 selections that have garnered consensus honors on the College Football All-America Team. Three Wolverines have won the Heisman Trophy: Tom Harmon in 1940, Desmond Howard in 1991, and Charles Woodson in 1997. Gerald Ford, who later became the 38th president of the United States, started at center and was voted most valuable player by his teammates on the 1934 team.

On May 30, 1879, Michigan played its first intercollegiate football game against Racine College at White Stocking Park in Chicago. The Chicago Tribune called it "the first rugby-football game to be played west of the Alleghenies." Midway through "the first 'inning'," Irving Kane Pond scored the first touchdown for Michigan. According to Will Perry's history of Michigan football, the crowd responded to Pond's plays with cheers of "Pond Forever." In 1881, Michigan played against Harvard in Boston. The game that marked the birth of intersectional football. On their way to a game in Chicago in 1887, Michigan players stopped in South Bend, Indiana and introduced football to students at the University of Notre Dame. A November 23 contest marked the inception of the Notre Dame Fighting Irish football program and the beginning of the Michigan–Notre Dame rivalry. In 1894, Michigan defeated Cornell, which was the "first time in collegiate football history that a western school defeated an established power from the east."

In 1896, the Intercollegiate Conference of Faculty Representatives—then commonly known as the Western Conference and later as the Big Ten Conference—was formed by the University of Michigan, the University of Chicago, the University of Illinois, the University of Minnesota, the University of Wisconsin, Northwestern University, and Purdue University. The first Western Conference football season was played in 1896, with Michigan going 9–1, but losing out on the inaugural Western Conference title with a loss to the Chicago Maroons to end the season. By 1898 Amos Alonzo Stagg was fast at work at turning the University of Chicago football program into a powerhouse. Before the final game of the 1898 season, Chicago was 9–1–1 and Michigan was 9–0; a game between the two teams in Chicago decided the third Western Conference championship. Michigan won, 12–11, capturing the program's first conference championship in a game that inspired "The Victors", which later became the school's fight song. Michigan went 8–2 and 7–2–1 in 1899 and 1900, results that were considered unsatisfactory relative to the 10–0 season of 1898.

After the 1900 season, Charles A. Baird, Michigan's first athletic director, wrote to Fielding H. Yost, "Our people are greatly roused up over the defeats of the past two years", and gave Yost an offer to come to Michigan to coach the football team. The New York Times reported that Michigan's margin of victory was "one of the most remarkable ever made in the history of football in the important colleges." At the end of the season, Michigan participated in the inaugural Rose Bowl. Michigan dominated the game so thoroughly that Stanford's captain requested the game be called with eight minutes remaining. Neil Snow scored five touchdowns in the game, which is still the all-time Rose Bowl record. The next year, 1902, Michigan outscored its opponents 644 to 12 and finished the season 11–0. In 1903, Michigan played a game against Minnesota that started the rivalry for the Little Brown Jug, the oldest rivalry trophy in college football. The game marked the only time from 1901 to 1904 that Michigan failed to win. Michigan finished the season at 11–0–1. In 1904, Michigan once again went undefeated at 10–0 while recording one of the most lopsided defeats in college football history, a 130–0 defeat of the West Virginia Mountaineers.