Preheat the oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a large bowl, combine the peanut butter, granulated sugar, egg, baking soda, vanilla extract, and salt. Mix until the dough is smooth and well combined.
Roll the dough into 1-inch balls and place them 2 inches apart on the prepared baking sheet.
Use a fork to gently press down on each ball, creating a crisscross pattern.
Bake for 10 to 12 minutes, or until the edges are lightly golden.
Remove from the oven and let the cookies cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.