Dario Hunt added 10 points for the Wolf Pack (24-5, 12-1), who will carry the No. 1 seed in next week's conference tournament in Las Vegas.
Wendell McKines led New Mexico State (22-9, 9-4) with 19 points and 13 rebounds.
The Wolf Pack led 63-54 with 3:02 remaining before the Aggies reeled off seven straight points to make it 63-61 with 57 seconds left.
The Aggies could not score in the final seconds, however, and Deonte Burton hit a pair of free throws with 1.1 seconds remaining to put the game away.
Nevada hit 7 of 16 3-point attempts and shot 43 percent overall from the floor. New Mexico State shot just 34 percent.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.