Frank Kaminsky is averaging 19.4 points and 8.9 rebounds while shooting 54.2% in Big Ten play.
The victory allowed the Badgers to move 1 1/2 games up on Ohio State (17-5, 6-3), Maryland (18-4, 6-3), Michigan (13-8, 6-3) and Indiana (16-6, 6-3).
Iowa fell to 13-8, 4-4 in the Big Ten, suffering their third straight home loss.
The Badgers shot 53.6% from the field in the first half (15 of 28), but cooled off in the second (33% / 8 of 24). But the Badgers defense held Iowa to 30% from the field in the second half, then finished things out by hitting 9 of 10 free throws in the final 2+ minutes.
Wisconsin coach Bo Ryan improved to 163-67 (.709) all-time in Big Ten play, the highest winning percentage in conference history.
The Badgers also improved to 25-6 (.806) away from home over the last two seasons, including a 14-4 road record, which ties Virginia for the best mark among teams in major conferences.
The Badgers return to action at home on Tuesday night against Indiana.