Preheat oven to 375°F.
In a mixing bowl, cream shortening, peanut butter, granulated sugar and brown sugar with a hand mixer until light and fluffy.
Add the eggs, one at a time, and beat well after each addition.
Combine the flour, baking soda and salt together, then add to the creamed mixture in batches, mixing well between each addition.
Roll into 1½ inch balls and place on a parchment lined baking sheet, then gently press down with two fingers.
Finally, using a fork press a crisscross pattern onto each cookie.
Bake 10 to 15 minutes.
Gently move cookies to a wire rack for cooling.