The turbojet engine, as a crucial power unit for specific aircraft, holds great significance in reliability research. However, the engine's multi-domain coupling and multi-fault nature pose challenges for reliability analysis. This paper proposes a reliability analysis method for turbojet engine system under multiple fault conditions based on a multi-domain unified model. Firstly, the method of describing the change of turbojet engine system performance based on mathematical model is used to analyze system operating principles. Secondly, the performance model of the turbojet engine system in the integrated system realizes the multi-domain coupling, and the multi-domain unified model of the system is utilized to simulate the parallelism of multiple faults as well as the superimposed influence on each other. And finally, the model is subjected to the simulation as well as the reliability analysis to solve the deficiencies of the traditional methods. Taking a certain aircraft turbojet engine system as an example, after modeling, fault injection, Monte Carlo simulation and data processing, the cumulative distribution function of system fault is calculated, which provides a new method for turbojet engine reliability research.