The relevance of the problem under study is determined by the fact that the global growth of digitalization of all spheres of economic activity accelerates the transformation of higher and general education and requires urgent “reassembly” of the skills of professional activity of university teachers and schoolteachers, adaptation of the entire education system to the demands of the digital economy and digital society. The aim of the article was to define the conceptual apparatus of the problem of competitiveness of a higher education teacher and a general education teacher in the context of modern challenges and threats of the digital world. The source of information for the analysis were academic studies of domestic and foreign authors on the designated problematics, placed in the lens.org database. VOSviewer program is used as a means of bibliometric analysis. The sample of the study consisted of 136 academic scientific publications from 2018 to 2023, indexed in domestic and foreign bibliographic and abstract databases of peer-reviewed scientific literature. As a result of the study, the definition of competitiveness of a university teacher and a schoolteacher is formulated; a list of factors determining the development of teacher competitiveness is presented; competencies (abilities, skills, abilities and qualities) of competitiveness of a university teacher and a schoolteacher are identified.