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The finite element analysis software ANSYS was used to establish the two-dimensional finite element model of the stator and rotor of the axial piston hydraulic motor pump. The numerical calculation and analysis of the driving magnetic field were carried out. The result shows that the distribution of the magnetic field in the oil gap with hydraulic oil was uniform. The statics analysis of pump sleeve which is the key part of motor pump was performed through extracting the parameters of magnetic field torque and other data as the force conditions. It turns out that the distribution of the deformation, stress and shearing force of the pump sleeve under the stress condition was studied. It is concluded that the maximum deformation of the pump sleeve occurs at the shaft shoulder and at the end face of the pump sleeve positioning piston pump cylinder. The research provided reference and basis for the design and related calculation of motor pump.