The relationship between the development of the economy, especially its innovate branches and industry, with the state of measurements, including the level of its uniformity and accuracy, seems obvious. However, for the scientifically based planning of the development of the national measurement system it is necessary to have the numerical data about the relationship between the level of economic development and the parameters of the used fleet of measuring instruments. In this regard, numerous studies were performed by the Russian and foreign scientists, which, however, were fragmentary and did not allow to establish quantitative rules of the relationship between metrology and economics to the required extent. One of the reasons of this situation was the lack of reliable data about the properties and number of measurement means and absence of methods of obtaining such data. The creation of the Federal State Information System “Arshin” and the adoption of relevant regulatory legal acts in the field of ensuring of the uniformity of measurements made it possible in 2021 for the first time to obtain the most complete data on the verifications of measuring instruments applied in the field of state regulation of the uniformity of measurements in the Russian Federation, which number reached more than 90 million records. On the basis of the analysis of this data the model of circulation of the measuring instruments in the sphere of state regulation of the assurance of uniformity of measurements in Russian Federation was designed, and the method of the evaluation of the number of measuring instruments operated in this sphere was elaborated. It is based on the processing of the data about the number of the verification acts of the measuring instruments and its distribution by the interverification interval. It was shown that the upper appraisal of the total number of the measuring instruments has been obtained as a sum of the numbers of the measuring instruments for each interverification interval, which numbers were obtained by multiplying the number of the measuring instruments for each interverification interval in 2021 by the value of the certain interval. An assessment of the influence of factors causing the uncertainty of the number of measuring instruments was carried out. The of the number of measuring instruments used in the sphere of state regulation in the Russian Federation in 2021 was estimated as (420±16) million units. The calculated values of the number of measuring instruments volume are scientifically proved and can be applied in the annual report to the Government of the Russian Federation “On the state of work in the field of ensuring the uniformity of measurements in the Russian Federation”, as well as transmitted to the Federal State Statistics Service. It is reasonable to use it for the elaboration the documents of strategic planning of the development of the system of the ensuring the uniformity of measurements of the Russian Federation.