Preheat the oven to 375 degrees F (190 degrees C).
Cream butter, white sugar, and brown sugar together in a large bowl until smooth. Add eggs and vanilla extract and mix until light and fluffy. Add whole wheat flour, baking soda, and salt and mix. Stir in chocolate chips and walnuts to make a very crumbly dough. Use hands and spoon to press and compact dough.
Form dough into approximately 3 dozen 1 1/2-inch balls and place on a baking sheet. Press down slightly to flatten.
Bake in the preheated oven for 8 to 12 minutes. Allow to cool before removing from the baking sheet.