The attitude synchronization problem for a group of flexible spacecraft is discussed in this note. Meanwhile, the communication delay among these spacecraft is also considered. By combining the method of backstepping design with the finite-time control technique, a distributed delayed attitude control algorithm is proposed which is the neighbor-based design. Under the proposed control algorithm, it is shown that the attitude synchronization can be achieved asymptotically. Finally, an example is given to verify the efficiency of the proposed method.