This article considers the possibility of using seismic supports in seismic protection systems for ball tanks for storing liquefied hydrocarbon gases in seismically unstable operating conditions. Attention is paid to the study of support structures, which include rubber-metal vibration isolators. Based on the theory of long-term strength, the issues of the operability of rubber-metal seismic-insulating supports (RMSS) are considered. The use of RMSS reduces seismic loads in the supports of the tank by 1.5-2.0 times. At the same time, the analysis of the stress-strain state (SSS) of the tank body showed that the structural elements retain their operational characteristics under seismic load and meet the strength conditions in accordance with the requirements of the current standard technical documentation.