The crossed axle traction drive developed by authors has been applied to the new mechanism of CVT. The input and output shafts attaching conical disks are parallel and a idler shaft having conical roller at the end is placed across the input/output shafts. The relation between the movements of each axis to change a ratio is analyzed geometrically. Because the spin is generated during the speed change, the shape of curved disk was considered to decrease the amount of spin. The effect of it was confirmed by calculating the spin velocity at each contact point.