Preheat oven to 350°F (175°C) and line baking sheets with parchment paper.
In a large bowl, cream together butter, dark brown sugar, and granulated sugar until smooth.
Add eggs and vanilla extract, and mix until combined.
In another bowl, whisk flour, baking soda, and salt. Gradually add to wet ingredients, mixing well.
Stir in caramel bits, making sure they are evenly distributed.
Scoop dough onto prepared baking sheets, leaving space between each cookie.
Bake for 10-12 minutes or until edges are golden brown.
Quickly sprinkle sea salt on top of warm cookies.
Allow cookies to cool on the baking sheet for a few minutes before transferring to a wire rack.