Аннотация:This article presents an analysis of the digitalization of the modern Russian economy, examines the principles of the operation of neural networks and their application in the economy, identifies and substantiates the advantages and disadvantages of this technology, as a result, the degree of influence of neural network technologies and the consequences of its usage in the Russian economy. The development of economic relations in a competitive environment between different countries and producers, the need to reduce the costs of goods and services and the rapid growth in using various innovative technologies has led our global economy to the post-industrial digital age. Nowadays most decisions in problem-solving processes of different spheres in our life are based on the global digitalization and the usage of the main inexhaustible resource – information. Information needs to be calculated using different techniques, one of the most advanced is neural network software. The article will be interesting for data scientists, engineers and PhD students, who are involved in software building.