The main aim of the project is the development of the breeding animals evaluation methods. Methods of animal evaluation are continuously developed. New procedures are worldwide practically straightforward introduced into nation-wide evaluation of breeding animals. Timeous application of the up-to-date, and most accurate procedures has economical consequences. It influences negotiability of breeding animals, and the speed of improvement of herds and herewith profitability directly on farms. Proposed project is oriented on modification of the current and development the new mathematical-statistical procedures of genetic evaluation of farm animals, suitable for the production conditions of the Czech Republic, competitive on international level and enabling connection with the global evaluation carrying out by international organizations, like Interbeef and Interbull are. Validation of determinated statistical models for given species and considered traits of farm animals, providing the new population-genetic parameters, construction of suitable computing algorithms for solving connected huge systems of equations and elaborate computer programs. Implementation of the new procedures into regular nation-wide evaluations of animals carrying out according to law by authorized entitled institution.