Based on experimental studies, a change in the characteristics of the developed concrete composition over time has been established. To determine the parameters of constructing underground structures in ground massifs, a set of studies was performed to assess the stress-strain state of the support at various periods of hardening of fast-hardening monolithic concrete. Modeling with the help of finite element method (FEM) in the software package “Lira-CAD” was carried out, the main factors determining the stress-strain states of the rock mass and supports of the underground structures were determined. As a result of volumetric modeling, the zones of formation of maximum stresses are established and their values are determined. According to the results of calculations of the experimental plan, the partial dependences of the influence of controlled factors on the maximum normal voltages are approximated. Statistical processing of the results using rational methods of planning the computational experiment was used to compile regression models for calculating stresses in the work support and selecting the parameters of carrying out and fastening. A regression model is given for calculating the maximum stresses in the workings support and selecting the parameters of conducting and fastening.