The present study reviewed the development of different selection method ranging from traditional phenotypic procedure to recent advanced genomic selection technique for improvement of animals from February, 2017 to November, 2017. The different optimal selection procedure focused to combine genetic gain and conserved genetic diversity to reform the selection and breeding procedure for the genetic improvement. Different theorems like natural selection, response to selection based on fitness, multilevel selection, selection method, neutral theory of selection and genomic selection were discussed to explain how the animal has adopted them to evolve better genetic merit. These theorems established to evidence higher accuracy in selection process thereby increasing the chances of success of the breeding programs. However, in future the models for estimation of breeding values and genetic values will be based entirely on DNA markers obtained from genotyping the animal or inferred from other animals.