Automatic balancing devices are used to balance the axial force, which in multistage centrifugal pumps can reach up to several tens of tones. The reliability of these device, which is mainly determined by the non-contact mode of operation of the face surfaces, largely determines the operability and reliability as well as the efficiency of the pump as a whole. The high pressures of the fluid that flows through the throttles of this device cause deformation of the surfaces, which in turn leads to a change of the face throttle shape. The diffuser shape of the clearance resulting from these deformations leads to a reduction in the value of the face clearance, which increases the risk of contact and failure of the device and the pump. In order to reduce the influence of disc deformations on the shape of the face channel walls and thus increase its reliability and tightness, additional hydraulically balanced resiliently mounted rings are used. During operation, these rings self-align to compensate for deformation of the main rotating disc installed on the shaft and the pump housing. Thus, these rings allow the balancing disk to perform its main function - unloading the axial force, as well as to regulate the pressure in the hydraulic balancing chamber as efficiently as possible, and significantly reduce leakages without reducing the reliability of the device. This paper presents results of numerical analysis of a modified design of an axial force balancing device with the resiliently mounted rings in a multistage pump using ANSYS software. To determine the value of force characteristics at the first stage, the flow in the annual gap-camera-face gap system is simulated, at the second stage, the deformations of resiliently installed rings and consequently the shape of the face gap is obtained and the effect of deformation on the force variance and other parameters of the balancing system operation is determined.