Elastic elements utilised in the support systems of machines are subjects to deterioration processes dependent on the character of their operational loads, work environment and construction. The extent of this change and work time after which it occurs is important information in the maintenance process, necessary for its planning. This paper presents the developed concept of durability prediction method of a four-joint metal-elastomer machine support based on the variation of working temperature of its elastomer elements. Therefore, the solution enables the estimation of significant indexes determining the life cycle of the mount. The developed simulation model is a useful tool for designers, allowing them to estimate the time of the machine mount’s correct work. It also helps the operator to schedule the inspections of technical condition (degree of wear) of the machine mount and prepare its replacement operations accordingly. This problem is significant because any failure to an element usually generates higher costs than carrying out a scheduled preventive replacement.