Nebraska (4-1) scored seven straight points early in the second half, ending with David Rivers' three-point play that made the score 42-30 with 15:30 remaining.
The Jackrabbits (4-3) cut Nebraska's to 50-45 with their own 7-0 spurt that ended with Griffan Callahan's 3-pointer with 9:27 left. Callahan hit seven 3- pointers to lead South Dakota State with 25 points.
The Cornhuskers pulled away from there, though, taking a 66-53 lead on Toney McRae's short jumper with 3:55 remaining.
Nate Wolters had 19 points, hitting 13 of 14 free throws for South Dakota State. Prince had 11 for the Jackrabbits.