Tedford Harris Cann (September 3, 1897 – January 26, 1963) was a champion American swimmer and a recipient of the United States military's highest decoration, the Medal of Honor.

He served as an officer in the United States Naval Reserve during World War I and earned the medal for saving his sinking ship.

At age 17 he defeated Hawaiian swimmer Duke Kahanamoku, an event which he later declared was a greater thrill than being awarded the Medal of Honor.

While a student at New York University, Cann also excelled in track and field, basketball, and football, where he played halfback as well as becoming a member of the Fraternity of Phi Gamma Delta.

On November 5, 1917, while he was a member of the crew of the patrol vessel USS May (SP-164), Seaman Cann voluntarily swam into a flooded compartment and repeatedly dived beneath the surface until he had located and closed the leak that endangered the ship.

Also in 1920, Cann won the Amateur Athletic Union National Championships in the 50, 100 and 200 meter races, becoming the first person to win all three of those titles in a single year.

Early in the morning of May 11, 1920, Cann and two other Olympic-hopefuls were in a taxicab in New York City, returning home from a late night out, when the driver crashed into an elevated railroad pillar.