A shaft sealing assembly for static and dynamic axial sealing of a centrally located rotating and movable shaft is provided. The assembly includes at least one first sealing member for sealing said shaft, at least one rotor member-attached to said shaft, and a stator member attached to a housing. A first sealing member is arranged in a recess in said rotor member effectively sealing one side of the assembly from its other side when a pressure difference exists between the media on the two sides of the assembly. Upon rotation of the shaft, the static sealing member is centrifugally moved axially and radially away from its static sealing position and friction between the sealing member and the stator is eliminated. Dynamic sealing is affected by a pressure difference caused by a turbine effect of the rotor member.