Power transmissions between crossed axles are used in several cases and generally performed by bevel gears. There is no report that deals with an application of traction drive to such transmissions. A prototype of crossed axle type traction drive using conical rollers was developed by the authors and its efficiency was evaluated. The power transmission efficiency of traction drive between conical rollers without the spin in the contact area is 98% and the disadvantage caused by the conical shape is not observed. A loading cam, which optimizes the contact force according to the loaded torque, is effective to decrease the loss torque of the transmission in the range of small drive torque. The mechanism of the loading cam is analyzed and this paper shows how to design the loading cam.