The present invention is related to a non-stage transmission apparatus for changing the power transmission speed and the power transmission torque by changing an inlet path of the fluid. Its construction is characterized in that it comprises: a center shaft 1 which is axial rotationally fixed in a casing to transmit a rotational force to the outside; a turbine body 5 which is fixed to a periphery of the center shaft 1 and is in a form of conical barrel in which a radius varies along a longitudinal direction of the center shaft 1; plural transverse partition plates 7 protruding from a peripheral wall of the turbine body 5 in a direction forming a right angle to the center shaft 1; blades 9 installed at the peripheral wall of the turbine body 5 along a longitudinal direction of the center shaft 1; and a hydraulic pressure supply means for supplying a high pressure fluid to the blades 9 of the turbine body 5 through nozzles to make the turbine body 5 have a rotational force to rotate having the center shaft as a center.