A bearing bush system includes a bearing bush of polyamide that is held on an outer steering shaft with a stopping collar and on the free face of which the one-piece sealing element of thermoplastic elastomer that seals statically with a ring seal as well as dynamically with sealing lips is held in a form-fitting fashion by means of watchtower-like denticulated ribs provided on both sides. The bearing bush system of two plastics forms a single component, requires low manufacturing expenditures, can be easily assembled and also ensures a reliable seal.