The article presents statistical data on the state of the world and Russian sheep farming, described the features of productive performance of fat-tailed sheep, the mapped survey data to study the weights and linear measurements edilbaevskoy sheep in specific farm. Edilbaevsky animals are suitable for breeding in southern Russia because the natural conditions of Northern Kazakhstan and southern regions of the Russian Federation are similar in their characteristics. A very valuable biological feature of Edilbaevsky sheep is there is high precocity at a young age and good use of the pasture in of desert, semidesert and dry steppe zones in different seasons of the year. The breeding and genetic centre OOO «Volgograd-Edilbay», where these sheep were imported from Kazakhstan in 1992 is engaged in active breeding. We have studied in the Centre the growth and development of Edilbaevsky sheep of different age groups depending on the coat color of animals. There was formed an experimental group of animals and their basic parameters - body weight and linear measurements - were studied measurements, which were carried out during appraisal in October 2016.