Introduction. In the process of managing the logistics activities of these enterprises, an important role is given to control over costs and resource savings. These components of management allow to constantly monitor the pace of housing construction and identify problems that arise there in order to eliminate objective obstacles, ensure compliance with construction schedules at the stages of the construction process, delivery of finished housing to individual customers in the agreed time and with declared, in contractual obligations, its quality.Purpose. The purpose of the article is to critically analyze publications on the problems of economic control of costs and resource savings, logistics activities in enterprises, including construction, and to develop their own position and proposals of the authors to solve these problems.Method (methodology). In the process of researching this topic, the following methods were used: monographic – in order to study the literature on economic control over costs and resource savings in the process of logistics activities of construction companies; regulatory and legal support – in order to identify violations of Ukrainian legislation in the field of construction and logistics; tabular – to build a table on the methodology of audit control of logistics costs and their resource savings in the process of logistics activities of construction companies, etc.Results. Control over logistics costs (state and domestic) and savings (overspending) of resources in construction enterprises should be carried out in the form of monitoring, verification, aimed at their rational use of resources (building materials and structures, electricity, fuel, lubricants, water, etc.), that is, to save money during the design of the construction object, preparation of the construction site for the beginning of capital construction, the implementation of direct construction and installation work, delivery- acceptance of the constructed object into operation.Bankruptcy of the construction company «Elita-Center», Bank «Arcade», serious violations in the activities of «Ukrbud», unsuccessful reform of DABI, explosion of a residential building in Poznyaki revealed an acute problem in the renewal of the Ukrainian housing stock. There is a relevant practice in the world aimed at protecting the interests of people who invest in housing (in the UK, Israel, Poland). It must be taken into account in Ukraine.Outsourcing specialists can be involved in work in construction organizations (enterprises) on a contractual basis, which will allow these organizations (enterprises) to save time and save costs for logistics operations.The audit of logistics costs (external and internal) and resource savings in the process of logistics activities in construction makes it possible to establish the reasons for deviations from such costs and certain officials who are involved in these deviations in construction companies. It should be noted here that deviations can be manifested not only in the overspending of logistics costs and resources, but also in their savings (in this case, the official must be encouraged in some way). Perspectives. Promising are the studies aimed at the general improvement of the system of economic control over the activities of construction companies and each of their logistics in the development of the digital economy and overcoming the consequences of the fight against СOVID-19.