Preheat oven to 375FCombine flour and baking soda. Sift.
In a large bowl, cream butter. Add sugar and brown sugar, and cream well until fluffy.Add egg and mix well.
Add half of the flour mixture to the bowl. Mix well. Add chocolate chips, walnuts, and the rest of the flour mixture.
Mix them until well combined. *Do not over blend after you put flour, or the cookies will get hard!
On a non-greased pan, drop a spoonful of cookie dough 2 inches apart from each other. Bake for 8 to 10n minutes.