Preheat your oven to 350°F (175°C).
In a large bowl, cream together the softened butter, brown sugar, and granulated sugar until smooth.
Beat in the vanilla extract and eggs, one at a time, mixing well after each addition.
In another bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the wet mixture, mixing until just combined.
Fold in the white chocolate chips and semi-sweet chocolate chips.
Drop rounded tablespoons of dough onto ungreased baking sheets, spacing them about 2 inches apart.
Bake for 10-12 minutes, or until the edges are lightly golden.
Remove from the oven and let cool on the sheets for a few minutes before transferring to wire racks.
Enjoy your freshly baked cookies with a glass of milk!