Airport spokeswoman Barbara Gann says one of the three runways reopened at about 12:45 p.m. on Thursday. The other two remain closed.
The Frontier Airlines plane landed safely at about 9:30 a.m. and slid on a patch of ice while turning to the taxiway. None of the 139 passengers on the flight from Denver were injured.
Five flights were cancelled and 15 other planes were forced to return to their gates after the runway was closed.
The airport is a hub for Delta Airlines. Seven other airlines also run flights there.