The invention relates to a connecting device for a blade on the wiper arm of a windshield wiper system, the wiper blade being formed by a springy support element that is provided with a wiper strip. The inventive connecting device comprises a holding mechanism that is fastened to the outer edges of the support element, and a connecting bolt which is disposed on the holding mechanism and runs transversal to the longitudinal extension of the wiper blade. The aim of the invention is to design such a connecting device in such a way that the parts which are subject to wear are placed on the wiper blade. The aim is achieved by the fact that an adapter bracket is hinged to the connecting bolt. The final piece of the wiper arm, which is adapted to the adapter bracket, can be joined in a fixed and detachable manner to the adapter bracket via a locking connection or latch and is connected thereto in a fixed manner in the assembled state of the wiper blade. Moreover, the adapter bracket us embodied such that the connecting bolt, and thus also the wiper blade, is able to perform a swinging movement relative thereto the swinging movement being due to and determined by a curvature of the vehicle window.