Preheat the oven to 350 degrees Fahrenheit.
In a large bowl, beat together the butter and sugars. Beat for about 2 minutes. (A stand mixer, or hand mixer works great)
Add in the dry pudding mix, eggs and vanilla and stir until just combined.
Add in the flour, baking soda and salt. Stir them together till you have a soft dough.
Fold in the chocolate chips.
Scoop the cookie dough into 2 Tablespoon sized balls, and roll them into balls about the size of a golf ball.
Top each cookie dough ball for 4 or 5 chocolate chips to make the cookies look extra nice.
Bake cookies for 9-11 minutes, until the edges are light golden brown and the middle is just set. The middle may look a little under done.
Remove cookies from oven and let them cool on the sheet for 5 minutes.
Transfer cookies to a cooling rack and enjoy warm or continue to cool.