A study is made of the possibility of using sucker-rod well pumps for oil withdrawal from the below-packer space of a producing well as a method of continuous excitation of fluctuations of hydrodynamic pressure in the wellbore for wave action on the face zone of this well. The action of pulses of hydrodynamic pressure on the pay formation in the nearwellbore zone contributes to the cleaning of microparticles clogging the rock ' s void space from it, to the development of a crack system in the rock, to the reduction in the efficient viscosity of formation fluids possessing viscoplastic properties, etc. This action tends to raise the efficiency of producing wells. By mathematical-modeling methods, the author has obtained an analytical expression describing, with a high degree of accuracy, the dynamics of hydrodynamic pressure in the wellbore over one period of operation of suckerrod well pumps. It has been shown that in high-permeability formations with a formation-fluid viscosity close to the viscosity of water, the amplitude of hydrodynamic-pressure fluctuations in the below-packer zone of the wellbore is relatively small and is measured by values of the order of hundredth fractions of an MPa. On reduction in the permeability of reservoir rock, rise in the viscosity of the formation fluid, and growth in the well yield, the amplitude of pressure fluctuations grows up to similar to 1 MPa or more, which is responsible for the high efficiency of wave action on face zones. The obtained results may be used to assess the efficiency of use of sucker-rod well pumps in combination with packers to stimulate filtration processes in the face zones of oil-producing wells.