A turbine pump includes a rotor having blades disposed between blades of inlet and outlet guide vanes. The blades of the inlet and outlet guide vanes are mounted to swivel on spindles. Various control mechanisms are used to determine the rotation angle of the inlet blades relative to the rotation angle of the outlet blades. A simple control mechanism uses pinions and cranks to control the blade angle. More complicated versions of the control mechanism may use a camming arrangement or an electric motor. The turbine pump is especially advantageous for applications where the speed, flow, and pressure may vary greatly, for example hydraulic transmissions for vehicles.