The analysis of the mud-rock flow controlling facility operation enables to reveal regularities and, consequently, mechanisms providing passage of the given values of solid and liquid flow for different slopes of a channel and parameters of its cross section. To solve such problems it is assumed that if the mud-rock moving along a given slope of a prismatic bed with the maximum concentration, then its flow can be controlled and direct along small slopes of the channel, providing at that the constancy of the first value of sediment carrying capacity. At the same time, the sections of the channel where steepness of the bed is relatively gentle require corresponding design innovations of the mud-and-rock flow controlling facilities. The received design solutions for mudflow controlling structures enable reliable control of mudflows where downward grade is small.