The paper deals with the problems of building structures with certain values of stability parameters based on the corresponding values of material parameters. For modeling, a passive experiment is used based on archival information for building structures. An algorithm using forecast models is built. Its main stages are given, they are indicated in the diagram. The algorithm is based on statistical approaches. The constructed forecast models for stone natural building materials, for binding materials, for forest materials are presented. During the construction of the regression model the authors proceeded from the independence of the experiments, as well as the fact that the nature of various random components remained unchanged in all experiments. The built models may be used to forecast changes in design parameters when the selected characteristics change.