a papermaking screen apparatus is formed of a tank , cylindrical first and second screens and a stirring unit , which are disposed inside the tank . the tank holds a papermaking material , and includes a papermaking material inlet at a peripheral portion and a screened material outlet for removing a screened material from a center portion of the tank . the first screen is situated inside the tank to form an inner compartment therein connected to the outlet . the second screen is situated inside the tank and located outside the first screen to thereby form an outer chamber between an inner periphery of the tank and the second screen , and an inner chamber between the first and second screens . the second screen is at least partly overlapped with the first screen along an axial direction . the stirring unit is rotatably situated inside the tank and includes a first stirrer situated in the inner chamber adjacent to the first screen , and a second stirrer situated in the outer chamber adjacent to the second screen . when the papermaking material is supplied from the inlet and the first and second stirrers are rotated , the papermaking material passes through the first and second screens and flows radially inwardly of the tank to be discharged from the outlet through the inner compartment .