Based on the safety assessment guidance of uncontained engine rotor burst given in FAA advisory circular, an easy and convenient safety analysis method is proposed for engine rotor burst risk. A simplified fragment collision angle calculation model is established to check the system components affected by rotor fragment. An improved checklist for failure components is established to reduce human analysis workload and verify the rotor fragments′safety effect on the aircraft system. Analysis process is simplified and workload is reduced compare to traditional rotor burst risk safety analysis method. The method is applicable to preliminary stage of civil aircraft system development, used for system hazards assessment caused by engine rotor burst risk and optimizing the system architecture.