The software reliability growth model plays an important role in reliability evaluation and guarantee. Aiming at the problems of fault detection and fault-correction waiting delay in software testing, this paper proposes a generalized dynamic integrated neural network model considering the fault-correction waiting delay. The model considers the diversity of software engineering. It uses the neural network method to construct a generalized dynamic integration model, and considers the fault-correction waiting delay phenomenon to complete the fault detection and prediction. Through the experiments on two real failure datasets (DS1 and DS2), the proposed method is compared with the existing software reliability growth model. The results show that the neural network model considering the fault-correction waiting delay has the best fitting effect, and exhibits better software reliability assessment performance and model versatility.