Cream butter and sugar. Incorporate flour and then add next four ingredients.
Form one-inch balls and then bake for 25-30 minutes. Remove from oven and coat in powdered sugar while still warm. Let cookies cool, and then coat them in powdered sugar a second time.
Melt chocolate chips in microwave safe glass bowl by microwaving for one minute, stirring and then microwaving in 30 second increments while stirring between each additional 30 seconds.
Drizzle chocolate over Snow Ball Cookies and immediately sprinkle with decorating sprinkles. Place in refrigerator for 10 minutes to harden chocolate.