By explosion rock mass behaviour is conditioned by preset complex of rocks natural characteristics. Very important role of blockness, which is percent (share) content at examining massif of natural separatenesses of different dimensions and configurations, separated each from other by the cracks of geological and technogene origin. Besides natural properties of massif the power, detonational characteristics of applied explosives, parameters of explosives charges disposition at massif and technology of explosion influence vastly at lumpiness (granulometric structure) of exploded rocks. The mathematical model of rock mass destruction by explosion had been elaborated and substantiated. It ties mutually the initial data (rocks properties, parameters of the charges disposition) and final results of explosion (granulometric structure of exploded rocks). The program of this complicated problem solving had been compiled. Analysing the received results of the problem solving, one can reveal contribution of each group of influence factors for lumpiness of exploded rocks. This fact creates preconditions for elimination or diminution of negative role of some controlled initial data.