The problems of calculation of mine workings' supports and underground structures' coverings, connected with application of the currently recognized provisions of the theory (mechanics) of underground structures to concrete objects of underground construction, are considered. According to the principle of interaction of shielding (lining) with an array of rocks, the stress state of underground structures depends on the characteristics of the initial field of stresses in the array, as well as the deformation characteristics of the rock material of structures. A special and significant role is played by the influence of underground construction technology to control the stress state of support structures. The correctness and reliability of the calculation also depends on the calculation methods used.