Abstract: In communication, the recovery of the information signal at the receiver end is only possible if carriers at the transmitting and receiving ends are synchronized both in frequency and phase. The notion of frequency and phase is in general not well-defined in chaotic systems and can thus not be used in characterizing synchronization in chaos communications. The first success in synchronization of two chaotic systems credited to Pecora and Caroll was termed self-synchronization. A chaotic system is self-synchronizing if it could be decomposed into at least two sub-systems; a drive sub-system (transmitter) and a stable response sub-system (receiver) that synchronize when coupled with a common signal. In this study, three chaotic systems: Chua’s Circuit, Lorenz and Rossler System were modelled using Simulink in Matlab environment. Self-synchronization was carried out between two copies of each of the chaotic systems with variations in initial conditions. The trajectories of the drive and response signals obtained from each pair of chaotic system after running simulations clearly demonstrated the effect of self-synchronization.