In the article, it is presented that the use of complex and convergent hybridization is an effective method for increasing cotton weight per bag, 1000 seed weight, fiber yield and fiber length. Among the complex and convergent families based on the principle of transgressive recombination in increasing the cotton weight per bag, mainly O-401-03 and O-175-178 families, among the families based on complex hybridization in improving the weight of 1000 seeds, the O-401-03 family, convergent O-109 O-401-03, O-470-72, O-109-110, O-774-776, O-369-372 from the -110 families, as well as from the O-504-09 and O-609-610 families, improving fiber yield , O-504-09 and O-365-366 from families based on complex and convergent hybridization, relatively high values in families based on complex hybridization in terms of fiber length in families O-440-46 and O-289-90, among convergent hybrid families based on the principle of transgressive recombination The expediency of using O-609-610, O-393-94 and O-899-900 families in genetic-selection studies is highlighted.