Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a large mixing bowl, cream together the softened butter and powdered sugar until light and fluffy.
Add the vanilla extract and mix until combined.
Gradually add the flour and salt, mixing until a soft dough forms.
Fold in the white chocolate and milk chocolate chips until evenly distributed.
Scoop tablespoon-sized portions of dough onto the prepared baking sheet, spacing them about 2 inches apart.
Bake for 12-15 minutes, or until the edges are lightly golden.
Allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.