In this paper, the problem of exponential synchronization of Chaotic Lur'e systems with sampled-data control is investigated. It's noted that the sampling periods are arbitrarily varying and bounded. A novel Lyapunov functional is proposed which takes full advantage of the available information about the actual sampling patterns. A linear matrix inequality method is utilized to design the sampled-data controller, and ultimate objective of this paper is that the systems can achieve synchronization under suitable conditions. Finally, results show the effectiveness of the presented novel design methods.