Preheat oven to 375 degrees F. Line cookie sheet with parchment paper.
Mix butter with ½ cup powdered sugar and vanilla with electric mixer until fluffy. Add flour and salt until dough comes together. If dough is too soft, chill so that it can be worked with your hands.
Roll 1 tablespoon of dough into balls and place onto cookie sheet. Bake for 12-15 minutes, or until bottoms are golden. Baking time may vary, depending on the size of cookies and your oven.
Fill a small bowl with powdered sugar. While still warm, roll each ball in sugar until covered. Let cool completely on rack.
Once cooled, roll cookies in powdered sugar once more.