Disclosed is a method for manufacturing a core of a motor for washing machines. In the manufacturing method, a pair of core bands are formed by punching the electric steel plate so that both core bands are opposite to each other in orientation and the teeth of one core band alternate with the corresponding teeth of the other core band, the core band is wound to a designated height so as to form a ring-shaped core, and securing parts are welded to the inner cylindrical surface of the ring-shaped core so as to be connected to a washing tub by bolts. The manufacturing method of the present invention is simply accomplished, allows the electrical steel plate to be maximally utilized, and improves a degree of strength of the core.