The 1958 New Mexico gubernatorial election took place on November 4, 1958, in order to elect the Governor of New Mexico. Incumbent Republican Edwin L. Mechem ran for reelection to a fourth term against Democrat John Burroughs. Burroughs narrowly defeated Mechem in the state's closest gubernatorial election since 1924. Mechem was the last Republican to carry Guadalupe County until Susana Martinez in 2010.
The Democratic primary was won by state representative John Burroughs. Former Attorney General Robert C. Dow unsuccessfully sought the nomination.
The Republican primary was won by incumbent governor Edwin L. Mechem.