Hallie Christofferson scored 20 points and Anna Prins had 19 for the Cyclones (20-6, 11-5 Big 12), who used a 13-0 second-half run to break open a close game. Iowa State outrebounded Kansas 43-29.
Angel Goodrich had 21 points, nine assists and seven rebounds for the Jayhawks (16-11, 7-9), and Monica Engelman scored 20 points.
The Jayhawks pulled within 60-57 on Asia Boyd's layup with 11:04 to play, but Christofferson hit a 3-pointer to spark Iowa State's 13-0 run and put the game out of reach. Poppens capped the run with two free throws, and Kansas never got closer than seven points down after that.
Kansas still holds a 45-29 edge in the all-time series between the schools.