Dig up gladiolus corms after the first frost, as advised by the University of Minnesota Extension.
Cut off the foliage, just above the corm. Remove excess dirt from around the corm.
Place a layer of paper towels on a baking tray. Dip the corms in fungicide (or spray them) and place them on the tray to dry.
Let the corms dry, as suggested by plantingflowerbulbs.com, in a well-ventilated room away from sunlight, for three to four weeks.
Place the corms in a paper bag. Store them over the winter in a cool but well-ventilated area, such as a root cellar or basement. The University of Minnesota Extension suggests that the ideal temperature range for storing corms is 35 degrees to 45 degrees Fahrenheit. If you do not have a room that is this cool, store the bulbs, in the paper sack, in your refrigerator.