This article discusses a discrete-time dynamical system consisting of a set of a controllable objects (region and forming it municipalities). The dynamics each of these is described by the corresponding vector linear discrete-time recurrent relations, and its control system consist from two levels: basic (control level I) that is dominating and subordinate level (control level II). Both levels have different criterions of functioning and united a priori by determined informational and control connections defined in advance. Considered addresses the problem of optimization of management of economic security of the region in the presence of risks. For the investigated problem is proposed in this work an economic-mathematical model of two-level hierarchical minimax program control of economic security of the region in the presence of risk and the general scheme of the solution.