Development of steeply dipping coal seam deposits of the Prokop'ev-Kiselov coal-bearing region of the Kuznets Basin introduces an important problem, i.e., calculation of the stressstrain state of a sloping-bedded rock mass. As has been demonstrated in a number of works, e.g., in [I], in many mechanics problems the rock mass may be modeled by an elastic uniform and isotropic material.The authors in [2] use these assumptions in order to analyze the stability horizontal workings in a slopping-bedded rock mass.In [3] it is assumed that the stress-strain state in each layer may be assumed to be uniform, and in the rock mass as a whole close to the working it may be assumed to be symmetrical relative to the working axis. On the basis for using the theory for complex variable functions, calculation of the stress field around a working in seams whose thickness is quite small and whose elasticity moduli are identical or similar, is carried out. However, mining is often carried out in rock masses of complex structure with layers of different thickness and with diffeent deformation properties.In order to determine the stress-strain state of these rock masses, analytical methods are not always suitable, and therefore it is necessary to turn to numerical methods, one of which is an effective method for solving rock mechanics problems, i.e., the finite element method [4][5][6][7][8].It will be used subsequently in order to find the stress-strain state of a sloping-bedded rock mass.