The complicated mining-geological conditions in the Kuzbass have led to some difficult mining situations in the past. Now, with historical data, supplemented by geomechanical information and measurements, together with an appropriate kinematic theory, a more reliable basis exists for prediction and control of the geomechanical state during extraction, with caving and with backfilling. Continued progress and improving reliability comes from data banks and computations, and now prediction of geomechanical situations is upgraded by more routing measurements and monitoring. Not only in the Kuzbass, but throughout the USSR, 14 dedicated groups are ready to solve various specific problems of prediction an control of geomechanic situations with assured increase in the quality of mining.