Preheat oven to 375 degrees. Beat butter, sugar, vanilla extract and salt in large mixer bowl until creamy. Gradually beat in flour; stir in morsels and nuts. Shape level tablespoons of dough into 1 1/4-inch balls. Place on ungreased baking sheets.
Bake for 10-12 minutes or until cookies are set and lightly browned. Remove from oven. Sift powdered sugar over hot cookies on baking sheets. Cool on baking sheets for 10 minutes; remove to wire racks to cool completely. Sprinklw with additional powdered sugar, if desired.