A wheel weight assembly mounts to a vehicle wheel disk section. The wheel weight assembly includes an annular starter weight mounted to the wheel disk section. The starter weight has mounting bores extending therethrough and centering taps projecting therefrom. The assembly also includes threaded members, nut members, an outer weight and attaching bolts. The starter weight includes a plurality of depressions. Each depression receives and prevents rotation of a nut member. Each threaded member extends through a corresponding one of the mounting bores and into a corresponding one of the nut members. The outer weight has attaching bores and centering recesses which receives the centering tabs. Each attaching bolt extends through a corresponding one of the attaching bores and is threadably received by a corresponding one of the nut members.