Preheat oven to 375°F. Line 2 large cookie sheets with parchment paper or silpat liners.
Place both sugars and butter into the bowl of a stand mixer or a large mixing bowl. Add the lemon zest. Beat together until creamy and combined.
Add pudding mix, eggs and vanilla extract. Beat until combined.
In a separate medium bowl- combine flour, baking soda and salt. Whisk together. Slowly add this mixture into the wet ingredients just until combined. Don't over mix. Stir in the white chocolate chips by hand.
Drop cookie dough by rounded tablespoons onto prepared cookie sheets. Bake only 10 minutes. Remove from oven and let cool on cookie sheets. Serve and enjoy!