| # | Name | Rank | Elevation | Prominence | Counties | Quadrangle |
| 1 | Picacho Mountain | 3153 | 4,957' | 680' | Doña Ana | Picacho Mountain |
| 2 | Kettle Top Butte | 3198 | 4,822' | 332' | Sierra | Elephant Butte |
| 3 | San Juan Mesa | 3208 | 4,746' | 489' | Chaves | San Juan Mesa West |
| 4 | Elephant Butte | 3214 | 4,722' | 352' | Sierra | Elephant Butte |
| 5 | Mesa, The | 3215 | 4,714' | 302' | Roosevelt | Gammil Well NE |