The positive impulses generated and transmitted by the regional center cause structural changes in the socio-economic development of the entire region and even often go beyond its frontiers. The purpose of the article is to determine the intensity of the impact of the regional center on the socio-economic development of the administrative districts, taking into account their territorial remoteness, using the example of Lviv and the districts of the Lviv region. The author classifies the administrative districts of the region according to the index of social (7 indicators), economic (10 indicators) and socio-economic (arithmetic mean of indicators of economic and social development) development. A high inverse dependence of the index of socio-economic development of the districts on their distance from the regional center was established. According to the study results, three types of administrative districts were identified: central, semi-peripheral and peripheral. The central administrative districts located in the immediate vicinity of the “core” (no more than 50 km from the regional center), and their socio-economic development index is within 0.5-0.7. Semi-peripheral administrative districts are located a little further from the “core” (50-75 km from the regional center), their socio-economic development index is in the range of 0.3-0.5. Peripheral administrative districts are the most distant from the regional center and have socio-economic development index < 0.3. It was determined that the influence of the regional center on the socio-economic development of the administrative districts has a centrifugal-zonal character, since the intensity of this influence decreases with an increase in the distance between the administrative districts and the “core”. At the same time, the level of socio-economic development of administrative districts depends, on the one hand, on the strength of development impulses generated by the regional center, and on the other, is determined by the available local economic potential and the ability to absorb the impacts of the regional center and other local growth poles.