Annar Ryen (19 October 1909, Os, Hedmark – 9 March 1985) was a Norwegian cross-country skier who competed in the 1930s.
He won a gold medal in the 4 x 10 km at the 1937 FIS Nordic World Ski Championships.
Because of his successes, Ryen was awarded the Holmenkollen medal in 1940 (shared with Oscar Gjøslien).
This was the last medal before World War II.He represented the clubs Tynset IF and IL Nansen.