Consideration is given to the results of assessment of stability of the main transportation way of horizon of undercutting at the «Skalisty» ore mine of the Norilsk Co. – connecting slope. The mathematical modeling of the method for a working protection with a protective pillar has shown that this method will not ensure the stability of the mine working for the whole period of its exploitation. A new method was suggested for protection of the working with the use of preliminarily created stress relieving zone during formation of the packing massif.