A kind of non-fragile synchronization guaranteed cost control method was put forward for a class of time-varying delay complex network system. Under the condition of assuming that the nonlinear vector function f(x) was differentiable, a non-fragile state feedback controller with gaining perturbations was designed through the method of Jacobi matrix linearization with remainder satisfying matching conditions, to ensure that the parameters of controller could still be effective under small perturbation. The sufficient conditions for the existence of non-fragile synchronous guaranteed cost control of this system were obtained by constructing suitable Lyapunov-Krasovskii functional, using integral equation, matrix analysis, theorem of Schur complement and so on. Under the condition of a given insurance performance index, the condition which was equivalent to the feasibility of a set of Linear Matrix Inequality (LMI) problem was shown, and the convex optimization construction method under the condition of LMI constraints was given, and the minimum value of the closed-loop time-varying delay system guaranteed performance value was calculated. Finally, by a numerical example comparison, the feasibility of the design method was verified.