The 1936 United States House of Representatives election in New Mexico was held on Tuesday November 3, 1936 to elect the state's at-large member to serve in the United States House of Representatives. Incumbent congressman John Dempsey ran for re-election to a second term and won by a large margin of 25.87%. This election coincided with the state's Governor election and other state and local offices. Dempsey slightly under performed Franklin D. Roosevelt in the concurrent Presidential election by about 0.3 percentage points.