On genealogic data about 242 Gravers disease patients, fertility parameters of 2105 healthy and 369 Grave's disease women peculiarities of genetic determination and natural selection of disease were studied. Results of the genetic analysis have revealed conformity of Grave's disease inheritance to alternative model parameters. Homozygote penetrance within the framework of this model was 78.8%, heterozygote--17.3%. For one generation in the Kharkov area population frequency of a gene to Grave's disease predisposition increases 0.8%.