The synchronized motion of master-slave autonomous marine vehicles is investigated, and a continuous states feedback controller is proposed for achieving finite-time synchronization of the motional states of both master vehicle and slave vehicle, including position, orientation, linear velocity, angular velocity, linear acceleration and angular acceleration. Firstly, dynamical models of both master vehicle and slave vehicle are mathematically given, and then a master-slave synchronization scheme is established. By means of the finite-time stability theory for the homogeneous system, a continuous states feedback controller for the master vehicle and slave vehicle realizing synchronized motion in finite time is designed, and the sufficient criterion is given correspondingly. Simulation results show the validity of the main conclusion.