The device for machining by electroerosion comprises an electrode-tool (EO) and an electrode-workpiece (EP) constituting the opposite poles of a working gap (GA) and an electrical circuit with a double voltage source (UD) connected to a supply network (A) arranged so as to produce erosive discharges between the electrode-tool (EO) and the electrode-workpiece (EP). This double voltage source (UD) comprises a first (U1) and a second (U2) voltage source connected galvanically to each other by their poles. This double source (UD) is connected to the working gap by at least four separate branches (B1 to B4) of which at least one comprises a self-induction element (LL, LL). Switching elements (SW1, SW2) permit producing by selective connection of the branches at least two increasing current slopes and at least two decreasing current slopes.