. The article deals with correct organization of the system for evaluating the educational achievements of primary school children in the conditions of distance learning in the context of the ideas of the "New Ukrainian School" concept. Attention is focused on the main approaches to the use of technology for the implementation of the control and evaluation system based on the competence approach. Emphasis is placed on the fact that evaluation in the form of motivated evaluative judgment should dominate in primary school. The main approaches to the use of formative assessment in the educational process of primary school as an interactive type of assessment of the children's educational progress are revealed, groups of formative assessment methods are analyzed. The importance of adapting knowledge control methods to the conditions of distance learning is substantiated, the rules for evaluating the educational progress of primary school children in the conditions of distance learning are formulated, and the role of the teacher in this process is outlined. The advantages and disadvantages of distance education are determined, the need for educational and methodological support of the specified education and the peculiarities of evaluating the results of the educational activities of primary school children in the conditions of distance education are indicated. Attention is focused on significant changes in the implementation of assessment activities in the conditions of distance learning of primary school children. The role of modern information and communication technologies in solving the problem of evaluating pupil’s educational achievements in the conditions of distance learning is determined. The methodical aspects of using online services are disclosed, which will help the modern teacher to use the leading form of assessment of primary school children in the conditions of distance education. It has been found that for the effective application of formative assessment technology, various services are used, such as: LearningApps, WordArt, MindMeister and others. Examples of the use of various formative assessment technologies in primary school in distance learning conditions are given.