Beat softened butter at medium speed with an electric mixer until creamy, gradually add granulated sugar, beating well. Stir in chunky peanut butter until blended.
Combine flour, and salt; gradually add to peanut butter mixture, beating until well blended. Preheat oven to 350 degrees. Roll dough into 60 1-inch balls; place one-inch apart on parchment paper lined baking sheets.
Bake at 350 degrees for 12-15 minutes. Cool on baking sheets for 5 minutes. Roll warm cookies in powdered sugar. Dust with white edible glitter if desired. Makes 5 dozen.