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As one of the most important indexes to evaluate the quality of software,software reliability experiences an increasing development in recent years.We investigate a software reliability growth model (SRGM).The application of this model is to predict the occurrence of the software faults based on the non-homogeneous Poisson process (NHPP).Unlike the independent assumptions in other models,we consider fault dependency.The testing faults are divided into three classes in this model:leading faults,first-step dependent faults and second-step dependent faults.The leading faults occurring independently follow an NHPP,while the first-step dependent faults only become detectable after the related leading faults are detected.The second-step dependent faults can only be detected after the related first-step dependent faults are detected.Then,the combined model is built on the basis of the three sub-processes.Finally,an illustration based on real dataset is presented to verify the proposed model.