A method for using a bunching type twisting machine to manufacture a steel cord made up of one core filament having a continuous wavy form and five to eight sheath filaments not having a wavy form disposed around the core filament, the cross-sectional shape of the cord forming an ellipse whose orientation is substantially constant in the length direction of the cord. After a core filament is preformed with a helical wavy form of a smaller pitch than the cord twisting pitch, this is squashed to form a flat helical core filament at a stage before it is twisted together with sheath filaments, and then sheath filaments are twisted around this flat helical core filament to make an intermediate product cord and this intermediate product cord is then squashed and thereby flattened before being taken up on a reel.