The event was won by Giorgio Zampori of Italy, the nation's third consecutive victory in the men's individual all-around.
France's Marco Torrès took silver and Jean Gounot earned bronze, stretching the French podium streak to three Games as well.
The gymnastics programme in 1920, just as in 1912, featured an individual all-around and three different team events.
France and Italy each made their fourth appearance, tied for most among nations, both having missed only the 1904 Games in St. Louis.
The format for the all-around competition varied widely at early Games.