The quality of the audit activity in the Republic of Moldova is a current issue, which is frequently discussed in the business environment, but also at the level of the public supervisory authority. The new legislative requirements create a favorable platform for the good performance of the quality control of the audit activity in the Republic of Moldova, but they require effort for implementation. The aim of the present study is to reveal the new requirements of the normative framework regarding the quality assurance of the audit activity in the Republic of Moldova in the light of good international and European practices in this field.  The elaboration of this study, as a research methodology, analyzed the provisions of the domestic normative acts regarding the audit activity in comparison with the international standards and European practices. In this way it was possible to identify practical solutions for the implementation of the quality control system of the financial audit missions. The results obtained from the researches carried out are of interest both to the supervisory authority of the audit activity of the Republic of Moldova, but also to the professional associations, audit entities, auditors and partners of the professional environment.