To deal with shortcomings of a single node or the simple neighbor relations in the research of cascading failures, a cascading failure model was proposed considering the local characteristics of node-community structure. The model gave each node dynamic initial load value based on the community property of the node, and adopted different strategies to attack the Western States Power Grid of the United States, US Air lines, IEEE118 standard grid and ScaleF-ree Network (SFN) to simulate the process of cascading failures. The simulation results show that these nodes within community lead to relative minor faults when community factor dominated in initial load, but some special nodes connecting multiple communities will cause serious cascading failures. It also indicates that the property of the number of neighbor nodes is more relevant than other properties by calculating Pearson correlation coefficients of different properties.