John J. Dempsey Democratic
Joseph Montoya Democratic
The 1957 United States House of Representatives special election in New Mexico was held on Tuesday April 9, 1957 to fill the vacancy caused by the death of At-Large representative John J. Dempsey.
Lieutenant Governor Joseph Montoya won the special election by a margin of 6.04 percentage points. He would continue to represent New Mexico's at-large congressional district until 1964.