This article presents the study of the various factors influence on the high-strength steel fiber concrete strength characteristics using a mathematical model that was obtained on the basis of experimental data. At the same time, the steel-fiber concrete reinforcement, the scale factor, the temperature and the duration of heating are related to the factors under study. A fundamental approach to building a model is to use exponential functions. This function allows to move from the product of the studied factors to their sum, which greatly simplifies the further use of the dependencies obtained in engineering practice. Separately, it should be noted that one of the studied factors (the duration of exposure to temperatures) is set by the result of its impact on the final response function. That is, taking into account the destructive processes in the structure of concrete with short-term heating and structural – with long-term. In addition, the optimization of the proposed mathematical model is performed, as a result of which it is established that the maximum values of the strength of the steel fiber concrete is achieved at the values of the percentage of reinforcement of HSFRC.