The article discusses the criteria for the quality of teaching and its evaluation in the context of the spread of modern educational technologies. A modern teacher today requires new knowledge and skills that were not previously used in traditional teaching and pedagogy. The purpose of the presented work is to systematize various factors affecting the quality of teaching in the digital age. The current state of preparedness of teaching staff has been studied. The international standards of teaching activity, international practice of training of teaching staff have been investigated. Various approaches to the formation of the concept and assessment of the quality of the teacher's work have been considered, criteria for evaluating the teacher's work, factors that allow for achieving the required results have been presented. The authors prefer a competency-based approach in the choice of approaches. The optimal set of personal qualities and key socioprofessional competencies that are in demand in educational and research activities has been defined and structured. The quality of modern teaching is linked to the possession of distance education skills and digital educational technologies.