The 1934 United States House of Representatives election in New Mexico was held on Tuesday November 6, 1934 to elect the state's at-large representative. Incumbent Dennis Chávez decided not to run for re-election and instead opted to run in the concurrent Senate election. This was the first open seat since 1922. Dempsey prevailed in this open seat by a narrow 4 point margin.
Results
New Mexico At-large congressional district election, 1934[1]