A phase compression scheme is proposed to achieve generalized synchronization for spatiotemporal chaos systems. The method is shown to be effective and practical by applying it to the numerical simulation of the Fitzhugh-Nagumo system, a kind of spatiotemporal chaos of reaction diffusion system. The effect of synchronization on the system is studied under bounded noise and the results show that the synchronization method has strong capability in anti-jamming. Generalized synchronization of two arbitrary spatiotemporal chaos systems can be realized by the method, which shows its universality in applications. The structure of the synchronous controller is simple and easy to use.