A control synthesis problem for spacecraft descent to the given domain near the Moon is considered. Mathematical model of the spacecraft, initial states, and terminal conditions are given. The goal is to synthesize the control so that the spacecraft could obtain the terminal state from the given domain of initial state in limited time. The synthesized control is a multidimentional function that describes dependence of control from the state coordinates. In this paper to solve the control synthesis problem we use a new numerical method of network operator. An example of spacecraft descent is given. © 2017 Univelt Inc. All rights reserved.