Stewart shot 4 for 8 from the field, including 3 of 4 from 3-point range, and sank 10 of 11 free throws for the Bobcats (3-3), who snapped a two-game losing streak. Moon made five 3-pointers.
James Kinney scored 24 points for the Spartans (2-4), and Will Carter had 15 points and eight rebounds.
Jourdain Allou had 10 points and five rebounds for Montana State, which shot 45.8 percent (11 of 24) from 3-point range.
San Jose State trailed by 15 points early in the second half, but the Spartans cut the lead to 64-60 with 5:36 left on Chris Jones' putback, and Carter made it 64-62 with a slam. After Rod Singleton made a free throw for Montana State, Kinney drilled a 3-point shot, pulling the Spartans even at 65-65 with 4:08 left.
The Bobcats went on a 6-0 run to build a 71-65 lead with 2:32 remaining, and the Spartans got no closer than three points afterward.
Xavier Blount ignited the run by scoring inside and drawing a foul. He missed the free throw, but Montana State's Mohamed Fall grabbed the rebound and scored. After a Spartans turnover, Blount scored on a fast-break layup.
In the first half, Moon scored 14 points and Stewart nine, leading Montana State to a 41-34 lead at the break. Moon hit his first four 3-point shots and his first five shots overall.
Montana State opened the second half with a 13-5 run, increasing its lead to 54-39 with 15:22 remaining. Singleton, Stewart and Blount each drilled a 3-point shot during the surge.
But the Spartans countered with an 11-2 spree, cutting the lead to 56-50 with 9:49 remaining, as Kinney hit a 3-point shot and made a three-point play.
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Spartans Fall to Montana State 77-70
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