With the development of ICT technology connected to the world, information systems connecting countries and companies have been developed. However, in the event of cyberattacks or disruption of information systems, national infrastructure, disruption, and adverse impacts on corporate businesses are expected. In particular, with the development of the fourth revolutionary technology, improvements and changes in the current ISO/IEC 20000, ITIL, and operational supervision of information systems are needed. In this paper, we analyze the limitations of existing models of ISO/IEC 20000 certification and operational stability of ICT-based information systems and design stability diagnosis and evaluation models of ICT-based information systems. We propose and compare stability diagnosis and evaluation models for the operational supervision of the designed information system. It verifies that the composition of the improved diagnosis and evaluation items can be actually used to secure the stability of ICT-based information system operation. The results of this paper contribute to securing the stability of ICT-based information system operation and will be used as basic data for preventing obstacles and accidents.