Abstract: A method and apparatus for winding toroidal cores is disclosed whereby two wire strands supplied from a continuous source are successively wound into turns about different angular sectors of a toroidal core to form two coils that are wound in different directions. The first strand is fed through the core opening in a position along a first sector of the core that is located slightly clockwise from the position in which the first turn of the first coil is being formed, and it is then wrapped around and through the core opening in successive turns as the core is rotated clockwise to form a first coil wound in a first direction.