Sim Bhullar added 14 points and nine rebounds for the Aggies (17-8, 11-2 Western Athletic), who prevailed by making 24 of 36 free throws.
Seattle (7-16, 2-11) shot better than New Mexico State (39 percent to 34 percent) and also outrebounded the Aggies (44-34) but was just 8 of 13 at the foul line.
Deshaun Sunderhaus scored 14 points for the Redhawks and Chad Rasmussen had 12.
In a game that was close throughout, New Mexico State broke a 50-50 tie when Sy Bandja nailed a 3-pointer with 4:40 remaining and Bhullar followed with two free throws at the 3:09 mark. The Redhawks made it a single-possession game three times in the closing minutes, but the Aggies hit 5 of 6 free throws the rest of the way to seal the win.