In this study, the synchronization of two identical Arneodo chaotic systems starting from different initial conditions is applied with a passivitybased control method. Time series and phase plots of Arneodo chaotic system are demonstrated graphically from its differential equations. Based on Lyapunov stability theory, passivity-based controllers are used to realize the synchronization of Ameodo chaotic systems with unknown parameters. All the theoretical analyses are confirmed with numerical simulations. The simulation results have shown that proposed passivity-based control method works effectively when synchronizing the Arneodo chaotic systems.