Cream the butter and sugar until light and fluffy. Add the vanilla extract and mix until fully incorporated. Add the flour and salt and knead into a firm cookie dough.
Break the walnuts into smaller pieces and add them to the dough along with the chocolate chips. Knead or mix until evenly distributed.
Shape the dough into one or two logs, about 2.5 inches (6 cm) in diameter. Wrap in plastic wrap and refrigerate for at least 1 hour.
Using a sharp knife, slice the dough into rounds about ½ inch (1 cm) thick. Place the cookies on a baking sheet lined with parchment paper.
Bake for 14-16 minutes at 350°F/180˚C (conventional oven) until golden brown.
Let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack.
How to store
Store in an airtight container; the cookies will keep well for up to two weeks.