With Nick Collison and Jeff Graves in foul trouble, Kirk Hinrich picked up the slack and scored 28 points - 19 in the first half - and the Jayhawks outscored the Cornhuskers by 21 points, 52-31, in the second half.
Keith Langford scored 18 points and grabbed seven rebounds for Kansas (11-3 overall, 2-0 Big 12), and Jeff Graves had his second double-double with 11 points and 12 rebounds. Nick Collison had 10 points on 4-of-11 shooting and eight rebounds, and Aaron Miles added eight points and eight assists.
Michael Lee led the Kansas reserves with eight points. Jeff Hawkins added five points, and Bryant Nash had four points and five boards.
Brian Conklin led the Cornhuskers (8-6, 0-1) with 12 points and eight rebounds.
Kansas hit 46.4 percent (32-of-69) of its shots, and was 22-of-25 from the free-throw line. Nebraska hit just 37.7 percent (23-of-61) from the field, including 26.7 percent shooting (4-of-15) from beyond the three-point arc.
The Jayhawks outrebounded the Cornhuskers, 46-34, and forced Nebraska into 21 turnovers.
The Jayhawks struggled early with their performance and late because of foul trouble, but Kirk Hinrich helped Kansas to a 12-point halftime lead with 19 points.
Kansas coach Roy Williams pulled his starters after they played to a 5-5 tie with Nebraska five minutes into the game and the reserves took a 7-5 lead on two free throws by Jeff Hawkins.
The starting five re-entered the game a few moments later, but struggled against the Cornhuskers, going back-and-forth until a 6-0 run midway through the half gave the Jayhawks the lead for good.
Hinrich has three three-pointers, most late in the half with Nick Collison and Jeff Graves on the bench because of foul trouble. Michael Lee has six points, and Collison has five points on 2-of-8 shooting. Keith Langford has four points, and Graves, who had four rebounds in the first two minutes, finished the first half with two points, five rebounds and three fouls.
John Turek and Nate Johnson both have six points for Nebraska. Johnson struggled on offense, though, shooting just 2-of-6 from the field, turning the ball over four times and calling two timeouts under pressure.
The Jayhawks are 14-of-33 from the floor, but 9-of-9 from the free-throw line. Nebraska is 11-of-32 shooting and 1-of-7 from beyond the three-point arc.