Carmichael also had a game-high nine rebounds for the Redbirds (7-3), who never trailed in the contest. Bryant Allen added 13 points for Illinois State.
Justin Black led Morgan State (3-4) with 21 points. Anthony Hubbard scored 16 points for the Bears and matched Carmichael with nine rebounds.
ISU, now 7-0 this season when scoring 70 or more points, shot 55 percent in the first half on the way to a 47-29 lead. They were 25 of 32 from the free-throw line with Carmichael going 12 for 13.
It was the first meeting between the teams.