This paper presents a gait control scheme for teleoperation of a quadruped-walking robot. In teleoperation of a walking robot, an operator gives a real-time generated velocity command to a walking robot instead of a moving trajectory. When the direction of the velocity command is changed, the periodic gait is not available because this requires an initial foot position . This paper proposes the aperiodic gait control scheme that can converge to a periodic gait Simulation results are given to demonstrate the efficiency of the proposed control scheme.