The staging or compounding of drag-type turbines having a high energy input is herein accomplished by disposing successive stages of a drag turbine in radially offset relation, i.e., nested relationship with nozzles between radially displaced stages mounted either in fixed spatial position or mounted for rotation with the upstream rotor and providing either like or opposite directions of rotation of successive stages. The successive radial stages of the present invention are separately coupled to coaxial drive shafts which, in turn, may be appropriately coupled to rotary output means in a conventional manner to provide the output power and high efficiency of the multistaged turbine.