The current mining of thin and steeply dipping ore bodies features depth down to 700–1100 m below ground surface, increased dimension of various-purpose pillars and, as consequence, higher mineral loss and overall degradation of mining efficiency. In connection with this, it is urgent to find new mining systems as well as scientific approaches to validation of safe parameters of geotechnologies such that, depending on geological and geomechanical conditions, as well as on mineral value, minimize geotechnical risks and maintain competitiveness of production. The aim of this study is to determine safe parameters of open stoping technology for thin ore bodies in terms of the Irtysh complex ore mine. The key research methods are production planning and mathematical (numerical) stress–strain analysis and stability of structural elements in underground mines. The calculated parameters of pillars and stopes for open stoping ensure operating stoping in areas of steeply dipping or inclined ore bodies. Application of 3D mathematical modeling to geological and geomechanical conditions of an operating mine greatly expands the range of approaches and knowledge in complicated problem solving, which proves reliability and correctness of the results obtained for specific nonrecurring geotechnical situations.