FIELD: mining; applicable in supporting of mine workings undergoing effect of dynamic loads. SUBSTANCE: method includes drilling of holes over supported contour of driven working to depth behind boundary of contour of region of rock inelastic deformations round working under effect of dynamic and static loads; securing of bolts with cementing material over entire length of holes behind the boundary of region of rock inelastic deformations with force counterbalancing the dynamic loads in region of rock inelastic and elastic deformations and static loads. Bolts are located over working supported contour at angle of 40 to 70 deg to it, and length of securing of bolts behind the contour of inelastic deformations of rocks is determined by formula given in the invention description. EFFECT: reduced expenditures for supporting of working undergoing effect of dynamic loads, and higher stability of supported workings. 3 cl
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