The 1962 Wyoming gubernatorial election took place on November 7, 1962. Incumbent Democratic Governor Jack R. Gage, who ascended to the governorship after his predecessor, John J. Hickey, appointed himself to the U.S. Senate in 1961, ran for re-election. After beating back a strong challenge from former Secretary of State William M. Jack in the Democratic primary, he then faced Republican nominee Clifford Hansen, the President of the University of Wyoming Board of Trustees and a former Teton County Commissioner.
The year proved poor for Wyoming Democrats, as Hansen handily defeated Gage and as Senator Hickey was defeated for re-election by former Governor Milward Simpson. This is the last time that an incumbent governor of Wyoming lost reelection.