A control device for a toroidal type continuously variable transmission is provided which controls the speed ratio of the toroidal type continuously variable transmission depending upon a current throttle opening and a current vehicle speed. This transmission includes an input disc and an output disc having mutually facing toroidal faces with oil films formed thereon, and a friction roller disposed between the input disc and the output disc to effect power transmission therebetween such that the speed ratio is changed by controlling an angle of inclination of the friction roller. The control device of the invention determines a temperature of the oil films, and sets at least one of an upper limit and a lower limit of the angle of inclination based on the determined temperature of the oil films, so that the speed ratio is controlled within the range of the angle of inclination set by the control device.