Whisk together the flour, baking soda, and salt in a small bowl until well combined. Set aside.

In a large bowl, using an electric mixer, beat the butter until creamy. Add the granulated sugar and brown sugar and beat until light and fluffy for 2-3 minutes. Beat in the eggs one at a time, then add the vanilla extract.

Add the dry ingredients to the wet ingredients and mix until just combined. Stir in the peanut butter until evenly distributed.

Chill the dough for at least 30 minutes, or up to 2 hours, to firm it up.

Preheat oven to 3500F (1750C). Line a baking sheet with parchment paper. Roll dough into 1-inch balls and place 2 inches apart on the prepared baking sheet. Bake for 8-10 minutes, or until edges are lightly golden.

Immediately upon removing from the oven, gently press a Hershey's Kiss into the center of each warm cookie. Let cool completely on the baking sheet for at least 15 minutes before serving.