Abstract: Crossed synchronization is defined first in this paper.Then, for a two-time-varying delay complex network system formed by a plurality of sub-networks, this paper designs period intermittent control and discusses the crossed synchronization stability of such systems on the basis of crossed synchronization definition between the subnets.On the basis of Lyapunov stability theorem and zero point theorem, the sufficient condition in which the synchronization of exponentially stable controllers in complex network systems with variable delay is obtained.The relationship between the complex network nodes is discussed.Two nodes in a complex network system with actual coupling strength must connect and interact.In combination with the given conditions, a numerical simulation illustrates the effectiveness of the control.