Akoh's dunk in the final minute made it 76-71 and Montana made 5 of 6 from the foul line to hold on for the win.
After a 33-all tie at halftime, the Panthers (1-1) opened the second half with a 9-2 run to take their largest lead at 42-35. Montana closed the deficit at 46-all and the teams went back-and-forth with five more ties before the Grizzlies took the lead for good at 60-58.
D'Marcus Simonds led Georgia State with 30 points and Kane Williams added 17.
Montana got to the free-throw line for 43 attempts and made 28. Georgia State made 12 of 24 at the foul line.