Currently, legislation is rapidly developing in many countries of the world. The governing bodies of interstate integration associations, such as the EU or the Eurasian Economic Union, are no less intensive in their normative activities. The high intensity of these processes is due to the scale of the challenges and threats faced by states and interstate integration associations. Unfortunately, poor implementation of laws remains a weak point. To assess the effectiveness of laws, states and interstate integration associations are developing new legal techniques. Legal monitoring is a cutting-edge legal technique that allows assessment of regulatory effectiveness. It is an integrated structural and analytical mechanism for analyzing and assessing a regulatory act across all stages of development and adoption. The paper discusses the problems related to implementing legal monitoring in the Eurasian Economic Union (EEU), a body that encompasses Armenia, Belarus, Kazakhstan, Kyrgyzstan and Russia. The purposes of this paper are: (1) to study the theoretical, legal and organizational backgrounds of legal monitoring as a tool for improving legal effectiveness in the EEU and its member states at the supranational and national levels; and (2) the development of proposals for upgrading regulation of public relations emerging as a result of legal monitoring procedures carried out in the EEU. To fulfil these purposes, theoretical, methodological and legal frameworks of legal monitoring by governmental authorities in the EEU member states and by the Eurasian Economic Commission, the EEU’s permanent executive body, were studied. Special priority was accorded to the monitoring activities that the Commission carried out to identify the measures the EEU member states took to mitigate the effects of the coronavirus disease (COVID-19) outbreak. Another significant line of research was identifying and studying organizational models that frame the monitoring of law-making in the EEU. The analysis allowed the author to prepare proposals to improve the legal framework of legal monitoring by the EEU’s permanent executive bodies and the integrated legal monitoring system in the Eurasian economic space.