The 1940 United States House of Representatives election in New Mexico was held on Tuesday November 5, 1940 to elect the state's at-large representative to serve in the 77th United States Congress. Incumbent John J. Dempsey chose to run for the US Senate instead of seeking a fourth term in congress. Clinton Anderson won the open seat by 17.52% outperforming Franklin D. Roosevelt in the concurrent Presidential election by 4.21 percentage points.

1940 United States House election in New Mexico

← 1938 November 5, 1940 1942 →

Nominee Clinton Anderson Herman R. Crile Party Democratic Republican Popular vote 106,972 75,085 Percentage 58.8% 41.2%

County results Anderson:      50–60%      60–70%      70–80% Crile:      50–60%

Representative At-large before election John J. Dempsey Democratic Elected Representative At-large Clinton Anderson Democratic