Preheat oven to 375°F (190°C). Line baking sheets with parchment paper.

In a large bowl, cream together the peanut butter, granulated sugar, and brown sugar until smooth and creamy.

Beat in the eggs one at a time, then stir in the vanilla extract until well combined.

In a separate bowl, whisk together the flour, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Be careful not to overmix.

Roll the dough into 1-inch balls. Place them about 2 inches apart on the prepared baking sheets.

Use a fork to create a criss-cross pattern on top of each cookie.

Bake for 8-10 minutes, or until the edges are lightly golden brown. Let cool on baking sheets for a few minutes before transferring to a wire rack to cool completely.