Abstract: The invention relates to electrochemical machining of metals and alloys and, more particularly, to high-precision dimensional electrochemical machining. The invention may be used for forming a regular nanometric and micrometric layers on an intricately shaped surface. Disclosed is a method of electrochemical machining in neutral electrolytes using current pulses which are synchronized with oscillation phases corresponding to the electrolyte pressure maximum in the interelectrode gap, wherein the oscillation mode of the machining electrode and electrode approach speed are set in a specific way for a predetermined frequency and amplitude, characterized in that the electrode approach speed is set in a way that the maximum value Pmax (t) of the electrolyte pressure at the interelectrode gap does not exceed an acceptable maximum value Pmax of the electrolyte pressure at the interelectrode gap.