A toroidal-type continuously variable transmission has an input disk, an output disk, a pressing device for pressing said first disk toward said second disk, a plurality of trunnions having a pair of first support shafts for supporting a plurality of power rollers, a pair of support plates for supporting the first pivot shafts of each of the trunnions; and a pair of swing brackets each including a second pivot shaft parallel to the first pivot shaft of the trunnion, the swing brackets being respectively supported so as to be swingable about the second pivot shafts with respect to the support plates. The first pivot shafts of the trunnion are respectively supported so as to be swingable with respect to the support plates through the swing brackets.