In this work, an analytical method for finding the equilibrium configuration of the suspension systems used for the non-steered (usually rear) wheels of the passenger car is proposed. This study is based on the static model, which takes into account the elastic elements of the suspension (springs, bushings, anti-roll bar, buffers). The external loading of the suspension system comes from the contact forces between the wheels and the ground, depending on the specific operating regime of the vehicle (static or dynamic, by case). An algorithm for analysis of the relative movements in the wheel guiding mechanisms was developed (and further integrated in the general method for finding the equilibrium position) with the purpose of establishing the deformations of the elastic elements. Finally, a computer program was conceived and tested on a particular application.