In a large mixing bowl cream the shortening with the white and brown sugars. Stir in the instant vanilla pudding mix. Lightly beat the eggs then add them to the creamed mixture. Mix well.
Sift the flour, baking soda and salt together. Add the flour mixture to the egg mixture. Mix until combined. Stir in the chocolate chips. Drop teaspoonfuls of the dough onto ungreased cookie sheets about 2 inches apart.
Bake at 350 degrees F (175 degrees C) for 10 to 12 minutes or until done.