A wheel covering system is disclosed having a first external cover element and a second internal cover element screwed to the first element. The wheel covering system is connected to an hub of a large vehicle such as a truck without relying on lugs provided on the hub for connecting the wheel to the hub. The connection is achieved by relying on bolts used to attach a hub cap (or axle cover) to the axle, without eliminating the hub cap (or axle cover), and at the same time providing a sturdy and robust connection capable of withstanding forces expected to be applied to a wheel cover during its lifetime.