High temperature superconducting magnet is the core component of superconducting power device, and its stability is the key factor that restricts the safe operation of superconducting power devices. In order to accurately and effectively evaluate the stability of superconducting magnets during operation, an electromagnetic-thermal-mechanical numerical simulation method for high temperature superconducting magnets is studied in this paper. Based on the model, the 150kJ SMES magnet as case is studied, the magnetic field and current density distribution are solved during the operation of the 150 kJ magnet, and its temperature rise, AC loss and stress analysis of the magnet are achieved. In addition, this work further analyses the critical current declination degree of superconducting tapes in the 150kJ HTS magnet under multi-field coupling, the dangerous region in operation is obtained and suggestions are put forward to avoid quench. The electromagnetic-thermal-mechanical model may provide an appropriate stability assessment with rapid and real-time calculations for HTS magnets.