The synchronization of spatiotemporal chaos in a nearest-neighbor coupled network is studied. Spatiotemporal chaos systems are taken as the nodes of the network,and the condition to realize global synchronization of the network is obtained by identifying the maximum Lyapunov exponent of the network according to Lyapunov stability theory. The nearest-neighbor coupled network with nodes of Fisher-Kolmogorov spatiotemporal chaos systems is taken as an example for simulation,the synchronization of spatiotemporal chaos for the network is checked. The synchronizing function of the network under bounded noise is further studied,and the results show that the method has good capability of anti-jamming.