A rotary electric machine having a stator and a rotor, in addition to an electric control device and a connection device which comprises at least one coupling element for electrically connecting the control device to one or several electrical lines and a mass element provided to connect to an electric mass potential. In order to improve the machine with respect to electromagnetic interference, the stator is connected to the mass element by a contact bridge which has a first securing section and a second securing section in addition to a bridge element arranged between the securing sections and includes a single-piece spring steel sheet which is at least partially sinuous.