Preheat your oven to 350°F (175°C).
In a large mixing bowl, combine the peanut butter, granulated sugar, brown sugar, eggs, and vanilla extract. Mix until smooth and creamy.
In another bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the wet mixture, stirring until just combined.
Scoop tablespoon-sized balls of dough and roll them into balls. Place on ungreased baking sheets, spaced a couple of inches apart.
Bake in the preheated oven for 10-12 minutes, or until the edges are lightly golden.
Remove from the oven and immediately press a chocolate kiss into the center of each cookie.
Allow cookies to cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.