<p>This paper examines the synchronization of multi-agent systems (MASs) over finite fields using state-circulated control (SCC). The introduction of SCC into the research of MASs synchronization marks a significant development, providing both the necessary and sufficient conditions for achieving synchronization in MASs. The synchronization criterion for multi-agent systems is further streamlined when integrated with Lyapunov theory. This paper analyzes the secure synchronization problem of multi-agent systems (MASs) and presents a specific type of attack on the system within a finite state space, known as a shifting attack. This attack compromises the controller’s state and provides inaccurate control information to the system, consequently impacting the system’s synchronization state. A condition that is both necessary and sufficient for the secure synchronization of multi-agent systems under attack is provided. By integrating the features of SCC with shifting attacks, it is evident that SCC can successfully counter shifting attacks. An algorithm is presented to facilitate this implementation. In conclusion, two illustrative examples are presented to confirm the accuracy of our research.</p>