The results, presented in this paper, allow one to examine the population variability of the distribution of patterns on the right and left hands and to determine the contribution of genetic and environmental factors to this variability (12 ethnic and race groups of 7000 individuals have been studied). The multiple statistical analysis, carried out for both sexes, has revealed significant, most often nonlinear, relations in the distribution of digital and palmer patterns on the right and left hands and to have their specific features, depending on the sex and ethnic group. On the whole asymmetry in the distribution patterns is more distinct in males. A comparison of the correlation pleiads, which show significant relations between the groups of digital and palmar pattern characters, allows one to assume that there exist two internal structure organization factors-digital and palmar ones. Obviously, these factors are common to the left and right hands, since vorrelations between analogous characters of the hands are considerable. Our data on the correlation between the left and right hand characters does not enable us to verify the hypothesis about the existence of local genetic factors than control the papillary patterns on the finger. By the correlation ratio on their right and left hands, the thumb is the farthest from the other fingers.