Wide modelling investigations in evolution and population genetics to a large extent have determined the understanding of genetic mechanisms of natural selection. Nevertheless, from the description of natural selection in the synthetic theory, the genetic models cannot be considered to be exhaustive, because the phenotype of the individual, the environment, and fitness remain beyond their frameworks. As per Schmalhausen, natural selection, i.e. survivability of the fittest, is a positive estimation of the phenotype. However, the phenotype reflects properties of a genotype in known conditions of development of the individual. Thus, together with phenotypes, the corresponding genotypes are selected. As a result, reproduction of some phenotypes-genotypes dominate and replace the others, resulting in changes of the population structure (Schmalhausen, 1968). In this conceptual model fitness plays crucial significance, and, only as a result of genotype differences by this characteristic, differentiated survival of individuals in generations is provided. However, in genetic models of natural selection that have been explained by the Hardy-Weinberg law, the phenotype of the individual and the environment are left beyond its framework. Consequently, the value of fitness is not the result of the algorithmic model, but the value arbitrarily assigned by the researcher to the genotype with the corresponding genetic formula, that finally defines the genetic structure of a theoretical population.There exist several models of fitness in heterogeneous conditions of the environment. Research in this area was introduced by Levins (1962). Later two types of models were developed: mechanistic model of ecological niche in which fitness is connected with functional traits of an organism (Crozier and Dwyer, 2006;Buckley, 2010;Kearney, 2010), and the models in which fitness is connected with the norm of reaction (Gavrilets and Scheiner, 1993;Gabriel, 2005;Chevin, 2010;Chevin, 2013). The proposed models differ both by the assumptions put in them and by the form and essence of the target algorithms characterising fitness. In this work, we develop a model of fitness of population genotypes on reaction norms in a heterogeneous environment in accordance with concepts of natural selection in evolution theory.The synthetic theory of evolution considers fitness as a result of the direct interaction of the phenotype with environmental conditions. Thus, fitness is expressed by the concordance of an organism's structure and functions to normal vital conditions surrounding it and reached by contrivance or adaptations, which always mean the quite specific design of the body (and an organism) in connection with the given conditions of the environment (Schmalhausen, 1968). Therefore, it is possible to speak about the functional interrelation of genotype fitness with the degree of conformity of PROCEEDINGS OF THE LATVIAN ACADEMY OF SCIENCES. Section B, Vol. 71 (2017), No. 4 (709)