Recently, the development problems of the loess subsidence soils as foundations of buildings and structures arise due to climate change on the planet in the consequence to the expansion of human economic activity and other unfavorable factors. For foundations composed of loess subsidence soils, the properties’ prediction is of great importance, taking into account the risks of flooding of territories, modern technologies for setting up foundations in already built-up and newly developed territories. Errors in design can contribute to a significant decrease in the values of strength and deformation characteristics. Also, they can cause subsidence of the soil base, which leads to negative consequences. Therefore, it is important to know the features of the loess subsidence soils formation, their properties, composition, in order to reliably predict their activity under the load during the operational period. This requires modern methods for calculating foundations, taking into account their real properties, such as deformation anisotropy, which is especially important for loess subsidence soils with strongly pronounced anisotropic properties.