The article proves that the genetic cluster analysis using of parents – offspring system at the period of 38 generations of directional intentional selection to short stem, the height of winter rye plants has been reduced less than 90 cm with simultaneously productivity integral components increasing. Directional selection on parent plants short stem has revealed pleiotropic effects to increasing averages of productivity yield capacity, spike length, flowers number, grains, and short stem and simultaneously its productivity reducing, plant and weight reducing of 100 direct descendants grains. Plant height donor of short stem Gnome 1 has been controlled prevailing by genetic factors and has been less influenced by environmental conditions. Selection by enlargement of elite plants grains has predetermined genetically increasing of the average height of families in the next generation without the concept selection requirements satisfaction. Therefore, the directed selections, by the structural analysis results, are annually held in two phases, first – to the expressed short stem and then among of them – to the high weight of 100 grains per plant and desirable productivity elements. A creative dominant short stem donor with stems up to 90 cm and a weight of 100 grains per plant more than 4.0 g has been made. A short stem spike shortness donor Dwarf 1possesses a significant reserve of common genetic mutation of quantitative characteristics, which can be used by direct and indirect selection. This population has been represented by its large amount, in order to enhance capabilities of directional selection plants short stem providing with the desired productivity components during the studying. Informative additive genetic cluster analysis is high. Plants productivity is considered to be extremely complicated selection characteristics, including many component constituents parts related genetically. One of these traits changing inevitably causes genetic changes in other breeding traits. The aim of the task should be set clearly and information flow should be methodically and genetically corrected used. Keywords: winter rye, the efficiency of selection, inheritance, short stem, Dwarf 1, pleiotropic effects, genotypic, additive correlation.