We present a scheme for chaotic synchronization in two resistive-capacitive-inductive shunted Joesphson junctions (RCLSJJs) by using another chaotic RCLSJJ as a driving system.Numerical simulations show that whether the two RCLSJJs are chaotic or not before being driven,they can realize chaotic synchronization with a suitable driving intensity,under which the maximum condition Lyapunov exponent (MCLE) is negative.On the other hand,if the driving system is in different periodic states or chaotic states,the two driven RCLSJJs can be controlled into the periodic states with different period numbers or chaotic states but still maintain the synchronization.