Preheat oven to 350 degrees F (175 degrees C) Grease cookie sheets. In a medium bowl, stir peanut butter and sugar together until smooth. Beat in the eggs, one at a time, then stir in the baking soda, salt, and vanilla.

Roll dough into 1 inch balls and place them 2 inches apart onto the prepared cookie sheets. Press a crisscross into the top using the back of a fork.

Bake for 8 to 10 minutes in the preheated oven. Allow cookies to cool on baking sheet for 5 minutes before removing to a wire rack to cool completely.

This is an amazing no-flour peanut butter cookie. It is so easy, even kids like to make it."