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In order to improve the performance of fault detection of high-thrust LOX/LH2 staged combustion cycle engines, a prediction method is proposed. BP neural network is based on the gradient method to determine the weight and threshold, Genetic algorithm（GA） is a multi-point search optimization method, which has good global optimization ability and can optimize BP neural network. Based on the flow, temperature, pressure and other signals measured during the engine test run, the GA-BP neural network is used to construct a nonlinear identification model of the engine working process, to detect the possible operating faults of the high-thrust hydrogen-oxygen supplementary combustion engine. The simulation results show that the algorithm achieves a better fault detection effect.