The control system of Insertion Device (ID) for High Energy Photon Source (HEPS) is mainly responsible for the opening and closing motion control of the magnetic gap of ID. The safe movement of the ID control system is essential for the safety of ID, storage ring and beamline station. Based on the safety requirements of HEPS ID control system, a high-level and multi-level safety system based on the new safety architecture has been designed and applied. It is the first time that this kind of safety system has been applied to the same type of ID control system worldwide. The safety system is designed and implemented in accordance with international safety standards and achieves the high safety level of Safety Integrity Level. The safety system has been successfully applied in the Cryogenic Permanent Magnet Undulator (CPMU) for HEPS, and the systematic tests have been accomplished. These tests results show that the safety system meets all the expected safety specifications, and achieves the standard of industrial control system with high safety level.