Practical implementation of synchronization schemes is important for secure communication. With many systems available, simple systems with varying differences will prove pertinent in user identification and inter-operability of communicating units. The implementation of Chua’s circuit with different memristors is a potential candidate for the realization of such units. In this paper, a general control function for the synchronization of two Chua’s circuits with similar or dissimilar memristors was developed. Three different memristor circuits were considered in this paper. Numerical simulation of the proposed control function was carried out and the performance of different memristors in the similar and dissimilar configuration was considered.