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The purpose of the paper is to develop the scientific and methodological provision of an audit of training of digital personnel for the regional economy in the conditions of Industry 4.0 by the example of regional flagship universities of modern Russia.

The authors use the method of regression analysis for determining the dependence of the level of digitization of regions’ economy on the competitiveness of their basic universities. The research is performed by the example of regions of the Volga Federal District of the Russian Federation, in which there are regional flagship universities as of early 2019.

It is determined that audit of training of digital personnel for the regional economy in the conditions of Industry 4.0 in modern Russia is conducted within the monitoring of the effectiveness of universities by the Ministry of Education and Science of the Russian Federation. Most of the indicators that are necessary for the audit of training of digital personnel for the regional economy in the conditions of Industry 4.0 are not taken into account. The data of the monitoring allow compiling a fragmentary idea of the potential of a regional flagship university in training of digital personnel for the regional economy in the conditions of Industry 4.0, while the results of this training are not assessed or controlled. This leads to low potential and low efficiency of Russia’s regional flagship universities in training of digital personnel for the regional economy in the conditions of Industry 4.0.

The forms for an audit of training of digital personnel for the regional economy in the conditions of Industry 4.0 by the regional flagship university are developed. The indicators of the potential and results of the university in training of digital personnel are combined with the existing methodology of evaluation of the effectiveness of universities in Russia. An additional advantage of the authors’ recommendations is the universal character of the developed forms, which allows using them in other countries for an audit of training of digital personnel for the regional economy in the conditions of Industry 4.0.