Preheat oven to 350 degrees F. In a mixing bowl, cream butter until light and fluffy. Add sugars and beat until smooth. Add eggs and vanilla, mixing well. Stir together salt, baking soda, and flour. Add to butter mixture, beating just until blended. Stir in nuts, oatmeal, and chocolate chips.
Drop by tablespoons onto greased baking sheets, about 2 inches apart. Flatten slightly.