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.
Join the rest of the Inside Sparta community in discussions of this article, and more, on the Inside Sparta Discussion Forums!
Spartans Fall to Montana State 77-70
Inside TheSpartans Top Stories
SJSU caps sweep with walk-off runSan Jose State's walk-off run on a wild pitch completed the Spartans' first series sweep since 2012.
Inside TheSpartansTuesday at 6:22 AM
Baseball wins second straight vs. NevadaDespite nearly giving up a 7-2 lead in the ninth inning, San Jose State wins two straight in its three-game home series against Nevada.
2016-17 SJSU Gradebook: Hoops editionInside the Spartans' Andrew Pang grades the recently completed men's and women's basketball seasons at San Jose State as both teams head into the offseason.
SJSU softball sweeps Aggie InvitationalHeading into conference play next weekend, San Jose State softball swept the Aggie Invitational with a 4-1 win over Iowa State and has won seven straight.