With the popularity of all-optical ne tworks,the delayed electro-optical feedback chaotic systems are more and more w idely used in secure communications.Synchronization is the basis for secure communications,while nowadays,the studies on the synchronization of delayed elec tro-optical feedback chaotic systems are almost based on the experiment analysis,which are lack of th eoretical proofs.In this paper,we will use the so-called Lyapunov function method to study the synchr onization of coupled delayed electro-optical feedback systems,including both one directional coupling and bi-directional coupling. The theoretical analysis shows that the delayed electro-optical feedback chaoti c systems can achieve robust synchronization.Furthermore,we give some numerical simulations,which are consiste nt with the theoretical analysis results.