The spread of disease through a physical contact network and the diffusion of information awareness about the disease on a communication network are two intimately related dynamical processes. To catch the influence of community structure on the epidemic spreading, we propose an epidemic spreading model based on the network community structure in dual networks. The model used the dual network to describe the interplay between the two types of spreading dynamics, each occurring on its own layer. As for the diffusion of awareness, we study the impact of the community structure on the changes of awareness diffusion process which will alter the epidemic threshold and the final infected size. Through Markov chain approach and numerical computation, we derive the epidemic threshold of the model. Theoretical analysis shows that the existence of the community structure in the consciousness layer network increases the awareness probability in the network, and then increases the epidemic threshold. Simulation results indicate that the epidemic threshold of the dual network propagation model based on community structure is higher, and the infected size is lower than that without community structure when the system is in balance.