A wave generator of a strain wave gearing has a rigid plug provided with an elliptical outer peripheral surface, and a roller bearing. The outer peripheral surface of the plug is provided with a major-axis-side outer-peripheral surface portion formed at a major axis position L1, and a minor-axis-side outer-peripheral surface portion formed at a minor axis position L2. The major-axis-side outer-peripheral surface portion is a tapered surface that is tapered along a center axis line, and the minor-axis-side outer-peripheral surface portion is an inverted tapered surface that is tapered in the opposite direction. An externally toothed gear can be supported and flexed into an elliptical shape without partial contact by using the wave generator in which the roller bearing is used.