Generally, for quality improvement of an organization management, TQM (Total Quality Management) is used worldwide and recognized. However, contents of activity are various, and it is difficult for organization to define the whole scope of TQM. It is very important that the activity theme about the TQM is based on the consideration of the needs and priority from the objective requirement, which should correspond to the basic consideration of quality management. If we have selected the wrong theme, and missed understanding about importance and priority of target for TQM, it may cause a significant risk in the organization management. For example, the company which got a high evaluation about the quality of management has poor management and disgraceful affair after several years, and it is a case reaching the bankruptcy. We worked on a study for improvement of technique for quality requirement and evaluation of system for many years, and have participated in the development of international standard for supporting the quality requirements and evaluation of system in ISO/IECJTC1/SC7. The organization having a specific purpose is a kind of system. It is thought that evaluation technique of the system quality is adaptive for a quality evaluation of the organization management. Therefore, this study suggests the new framework of TQM from the view point of the general framework of management defined in ISO/IEC25040 and TQM matrix. Furthermore, this paper presents the result of comparison between proposed action theme derived from a framework of new TQM and the example of existing TQM, and reports an inspection result of the effectiveness.