Freshman sensation Wesley Johnson chipped in with his eighth double-double - 11 points and 10 boards - for the Cyclones (11-5, 2-0), who have won four straight.
Nebraska got within 55-53 on the strength of an 11-2 run late in the second half. But Hubalek converted a 3-point play and Dodie Dunson nailed a wide-open 3 from the corner to push ISU's lead back to eight, 61-53, with 2:20 left.
Aleks Maric scored 20 points and grabbed 13 rebounds for Nebraska (11-4, 0-1), which fell to 0-9 in Big 12 road openers.
Maric scored 37 points with 16 rebounds and four blocks last season in Ames, but Hubalek forced Maric into a series of tough misses down the stretch that kept the Huskers from chipping away at the lead. In fact, ISU dominated the points in the paint this time around, 30-18, and was plus-8 on the glass.
Taylor gave Iowa State a 35-32 lead - its first since early in the game - on a pair of 3-pointers to open the second half. Taylor then buried another trey to put the Cyclones ahead by five. ISU pushed its lead to as much as 11 after Clark followed a Johnson tip-in with a 3-point play. The Cyclones had just one turnover in the second half.
"I have always felt that the first five minutes of the game and of the second half are the most important parts of the game," said Iowa State Coach Greg McDermott, who became just the fifth rookie coach in ISU history to start 2-0 in league play. "We didn't start the game the way we wanted to. Early in the game we didn't understand, but in the second half we came out and played well."
Nebraska's second-leading scorer, freshman Ryan Anderson, scored just two points on 0-of-3 shooting. Anderson has been hobbled by a lower leg sprain, which kept him out two games and left him limited in the past two.