The plant breeding has been constantly working with the search for increasing agricultural productivity of many crops, targeting a system with higher productivity per area, due to the increasing world population, as well as foods with a higher content of nutrients. In this scenario, the corn crop stands out due to its direct contributions manufatured or processed foods as well as being the base of the feed chain. The advance in grain yield was very significant, this fact is due to the efficiency of the breeders and also the new tools being developed and serve to support the art and science of plant breeding. This literature review was developed in order to report the importance of improving the types of corn hybrids, driving methods, genotype x environment interaction, advantages and disadvantages of growing hybrids and future prospects of plant breeding.Is literature review was conducted from March to July 2016 in the Department of Mathematics and Statistics, Federal University of Pelotas.