The work is devoted to application of the network operator method for solving the control system synthesis problem. The general synthesis problem statement is formulated with regard to its numerical solution. Complexity of the numerical solution of the general problem of control synthesis includes the necessity to find a multidimensional control function so that the control object from any initial state of some area falls into a terminal state with the optimal value of the quality criterion. The work uses the network operator method to solve the control synthesis problem. The method allows to find a solution in the form of an encoded mathematical expression with the help of special genetic algorithm. An example of quad-copter stabilization system synthesis by the network operator method is considered. © 2020 IEEE.