In this paper, we bring attention to synchronization between a fractional-order chaotic system and an integer order chaotic system, which is very challenging because it can form a bridge between a fractional-order chaotic system and an integer order chaotic system. More specifically, we present a general form of a class of chaotic system, which can be synchronized between a fractional-order chaotic system and an integer order chaotic system. Furthermore, an example is carried out to verify and demonstrate the effectiveness of the proposed control scheme. Simultaneously, our work is supported by logical theorems and intuitive numerical simulation.