Robert H. Fletcher (February 28, 1900 – August 5, 1968) was an American football player and coach.

Fletcher played quarterback for the Illinois Fighting Illini football from 1918 to 1920.

His 1919 Illinois Fighting Illini football team famously won the national title, after he kicked a game-winning field goal to defeat Ohio State.

Fletcher first coached three seasons as the head football coach of Findlay High School in Findlay, Ohio from 1921 to 1923, amassing a record of 24–6.

Fletcher coached both the school's football and basketball teams.