Cream together butter, granulated sugar and light brown sugar until fluffy.
Mix in the eggs until mixed. Don't over mix. If mixture becomes slightly curdled, then add in a tablespoon of flour.
Slowly add in flour and baking soda.
Then stir in the walnuts.
Cover with plastic wrap and chill for 1 hour.
Preheat oven to 350.
Place tablespoon dollops of dough onto parchment paper lined cookie sheets, at least 3 inches apart.
Bake for approximately 15 minutes or until lightly browned. While cookies are baking, make your frosting.
Allow cookies to cool before transferring to cooling rack.
Once fully cooled, you may add your icing to top of cookie.