A wave generator for a strain wave gearing is provided with a rigid plug having an ellipsoidal plug-outer-circumferential surface, and a ring-shaped displacement body that is flexed to an ellipsoidal shape by the plug. The ring-shaped displacement body is provided with a plurality of radially arranged displacing sections. The plug-contacting surfaces of the displacing sections are in sliding contact with the plug-outer-circumferential surface and when the plug rotates, the displacing sections are repeatedly displaced in the radial direction. By the displacement of the displacing sections, wave motion is generated in an external gear. It is possible to achieve a wave generator capable of generating wave motion in the external gear with a small rotational torque.