A three-dimensional finite element model for Progressive Cavity Pump (PCP) is constructed. The steel stator is simplified as a rigid body and the deformation of the rubber rotor is considered in the model according to the characteristic of the stator and rotor materials. The laden torque of friction due to the interference between stator and rotor is calculated with the model. The obtained numerical results are consistent well with experimental data. The effect of parameters on laden torque is performed and discussed. The parameters include the amount of interference between stator and rotor, eccentricity of the track of the rotor moving etc. The results demonstrate that the amount of interference between stator and rotor is the major factor of influencing the laden torque and the laden torque reduces as eccentricity decrease.