Athletic shoes with molded cleats of resilient material for use on artificial turf or other hard surfaces are disclosed including first cleats provided on the bottom of the shoe sole positioned beneath the foot of the wearer and second cleats provided on both sides of the shoe. The second cleats are molded integral with a cover strip of resilient material bonded to the outer surface of the shoe upper at its lower edge so as to extend around the toe portion, along the opposite sides and around the heel portion of the shoe upper. Such second cleats provide added traction and enable more rapid changes in running direction, such as when playing football, baseball or soccer, especially under wet conditions. The cover strip may be a separate strip from the outer sole or may be a border portion formed integral with such outer sole layer of less thickness than such outer sole layer. The second cleats are preferably of smaller size and may be of different shape from the first cleats.