Abstract: The invention is applicable to the griding with current-conducting abrasive tools of works of current-conducting churlish materials, such as hard, magnetic and refractory alloys, and to cutter sharpening.The method according to the invention consists in applying voltage pulses to a tool and a work placed in a liquid medium with a conductance of 10.sup.-4 to 2.multidot.10.sup.-2 ohm.sup.-1 .multidot.cm.sup.-1.The process of grinding the work and electric-erosion cleaning the tool is carried out at a pulse duration of 0.5 to 10 msec, pulse repetition frequency of 10 to 500 Hz, and amplitudie of pulses ranging from a minimum of 3 V to a maximum which is below a level required for a breakdown of the liquid medium between the tool and the work.Alternatively, simultaneously with machining the work the electric-erosion truing of the tool is performed with the use of a tool truing electrode.The tool truing electrode and the work are connected to the same pole of a power source.