Henri Michel Couttet (born June 8, 1901 in Chamonix, died October 11, 1953 in Sallanches) was a French professional ice hockey player. He is the older brother of Marcel Couttet and Denis Couttet. His father Alfred Julien Couttet (1872-1918), boilermaker, and two other brothers also played hockey. He is a farmer by profession. Henri Couttet has spent his entire career at the Chamonix Hockey Club. He was champion of France in 1923 and 1927. He was on the French team at the 1920 Olympic Games in Antwerp and at the 1924 Olympic Games in Chamonix.