Starting with the set of linear equations that determine the complex currents of a generaln‐mesh circuit, a method is presented for the numerical solution of the equations to determine the various mesh currents of the system.The method presented has computational advantages over the conventional methods usually used in that only real numbers are involved in the various numerical operations and only the evaluation of second‐order determinants is involved. The operations required are those of matrix multiplication and are most conveniently performed with a calculating machine. The paper is concluded by the solution of a generalY‐Ycircuit with a neutral return as an example of the method presented.