1938 United States House of Representatives election in New Mexico

The 1938 United States House of Representatives election in New Mexico was held on Tuesday November 8, 1938 to elect the state's at-large member to serve in the United States House of Representatives in the 76th United States Congress. This election coincided with other state and local offices such as the Governor election. John Dempsey ran for re-election to a third term and won by 16.97 percentage points. He outperformed John E. Miles in the governor race by 12.32%.