Francis Henry Peters was an American college football coach.

He served as the head football coach at Maryland Agricultural College—now known as the University of Maryland, College Park—in 1900, compiling a record of 3–4–1.

A native of Wesley Station, Maryland,[1] Peters attended the Maryland Agricultural College, where he played on the football team as an end from 1898 to 1900.

[2] During the 1899 season, Peters served as acting captain in place of Sam Cooke who had suffered an injury, and he was elected team captain and served as player-coach for the 1900 season.

[4] At the Maryland Agricultural College, Peters also played on the baseball team as a right fielder,[5] and competed in the hammer throw, shot put, broad jump and hurdles events as a member of the track and field team.