The article touches upon an algorithm of aimed parameters of the plastic damping development in seismic isolation systems taking into account low-cyclic fatigue. All the phases of damper bars plastic resource determination in the shuttle-type plastic damping seismic isolation systems have been considered. They include: solution to a dynamic problem of non-stationary seismic influences of a various level and duration; definition of a number of loading cycles; distribution of number of loading cycles with various level of movements; transition from movements to maximum deformations; establishment of an allowable number of cycles and a plastic resource of a core by Koffina – Menson and Palmgrema – Maynera's criteria. Also, it has been proved that the required plastic resource can be provided by means of geometry variation (length and section size of core) and number of bars alteration.