On the basis of the Hardy-Weinberg law written down for a continuous scale of alternation of generations, populating dynamics of genome is considered at absence of mutagen influence and at presence of the mutagen factor of stochastic character. Influence of the stochastic mutagen factor as cancerogenes on the population is shown. In the countries with the homogeneous population and advanced medicine, it inevitably results in growth of death rate of the population from newgrowths to proportional a root square from time of a life of the population. The carried out research allows estimate a level of the population condition in the country from the point of view of health.