At present, when the requirements to the quality of education are significantly increased, there is a need to search for new methods to increase the competence of the teaching staff of educational institutions. Competences that include a body of knowledge, skills, abilities, applied efforts and behavior stereotypes are characteristics that are necessary for a person to succeed, and competence means the person's own competence. Competence is a versatile, diverse and systemic characteristic of the teacher. The current multidimensional approach to competence offers more opportunities for integrating business requirements, human resource management technologies and the educational process. In this regard, it is important to develop a model support for the process of assessing and improving the level of competence of teaching staff. The article considers the task of increasing the level of competence of the personnel of the organization. The approach is based on the technology of developing development management systems (DMS technology), created in the Institute of Control Sciences of the Russian Academy of Sciences. The main stages of the DMS technology are considered as applied to the task of increasing the level of competence of the organization, such as a comprehensive assessment of the level of competence of the organization, assessing the potential for increasing the level of competence of personnel, developing a program to improve the level of competence.