| Election Name: | 1921 United States Senate special election in New Mexico |
| Country: | New Mexico |
| Flag Image: | Flag of the United States (1912-1959).svg |
| Type: | presidential |
| Ongoing: | no |
| Previous Election: | 1918 United States Senate election in New Mexico |
| Previous Year: | 1918 |
| Next Election: | 1924 United States Senate election in New Mexico |
| Next Year: | 1924 |
| Election Date: | September 20, 1921 |
| Image1: | Holm O. Bursum, 1921.jpg |
| Nominee1: | Holm O. Bursum |
| Party1: | Republican Party (United States) |
| Popular Vote1: | 36,868 |
| Percentage1: | 51.35% |
| Nominee2: | Richard H. Hanna |
| Party2: | Democratic Party (United States) |
| Popular Vote2: | 31,353 |
| Percentage2: | 43.67% |
| Map Size: | 200px |
| U.S. Senator | |
| Before Election: | Albert B. Fall |
| Before Party: | Republican Party (United States) |
| After Election: | Holm O. Bursum |
| After Party: | Republican Party (United States) |
There was a single special election in 1921 to the United States Senate. It was held in New Mexico for the Class 2 seat, previously held by Albert B. Fall, who resigned March 3, 1921 to become U.S. Secretary of the Interior. Holm O. Bursum was appointed March 11, 1921 to replace him until this special election. On September 20, 1921 he also won the election.