In this paper， projective synchronization between spatiotemporal networks with community structure and nonidentical nodes is investigated. Nodes in the same community are governed by the same dynamical function，while the functions for different communities are different. Based on topological characteristics of discrete spatiotemporal networks，an adaptive synchronous control method is designed. Several sufficient conditions for achieving projective synchronization are obtained by Lyapunov stability theory， which are further verified numerically by three different spatiotemporal chaotic networks.