The control problem of two-dimensional distributed parameter systems in sensor and actuator networks is investigated. The sensor and actuator network consists of fixed sensors and mobile actuators on the two-dimensional plane. Firstly, an observer is designed using of the measurement information provided by the sensors to estimate the state of the two-dimensional distributed parameter systems, and the controllers are given based on the observer. Then, by using the operator semigroup theory and Lyapunov method, the horizontal velocity and the vertical velocity of each actuator are given based on the observer. Finally, a numerical example is given to illustratie that the control performance of the two-dimensional distributed parameter systems can be improved by the mobile actuators.