Bronson Cutting was the incumbent on Election Day, having been appointed to a fill a vacancy in 1927. Cutting did not run in the simultaneous special election in 1928 and was therefore replaced for four months before beginning his full term in March 1929.
The canvass is listed in The New Mexico Blue Book 1929-1930.
Source for Popular Vote data: New Mexico Secretary of State, "U.S. Senator (Long Term)," Canvass of Returns of General Election Held on November 6, 1928 (Santa Fe, 1928)