This article discusses the relevance of the problem of teachers readiness to develop assessment competence. A modern teacher should have professional competencies to adequately and objectively assess not only the quality of educational planned results of students, but also the quality of their own educational activities. To implement new and modern procedures for evaluating and controlling the quality of professional and educational activities, every teacher must have the desire and willingness to develop evaluation competence. In accordance with the normative documents, such as the Federal Law “On Education in the Russian Federation”, the State Program of the Russian Federation “Development of Education” for 2013–2020 and the Federal State Educational Standard of Primary General Education, the problem of developing the assessment competence of teachers in modern conditions has become very relevant and important recently. This study was conducted on the basis of Kuzbass Regional Institute of Advanced Training and Retraining of Educational Workers, in which we used theoretical and practical analysis, as well as observation, focus group discussion, survey and questionnaire survey of primary school teachers. The concept of “evaluative competence” is considered by us as an important and necessary component of educational activity, which is included in the structure of the teacher’s professional competence.