Set the oven to bake at 350 degrees Fahrenheit.
Cream the butter and the sugar together until fluffy.
Add the vanilla and stir.
In a separate bowl, blend together the flour and salt; then add them to the butter/sugar/vanilla mixture.
Stir until completely blended.
Add in the chopped nuts.
Roll the mixture into balls between 1¼ and 1½ inches in diameter and place them onto an un-greased cookie sheet.
Bake at 350 F for 20 minutes, until light golden brown.
Immediately, roll the fresh-out-of-the-oven cookies in powdered sugar.
Re-roll when cool.