Genetic variability is essential for maize breeding, being source of determining alleles and genes that maximize traits of agronomic interest, minimize abiotic and biotic stresses, as germplasm sources for breeding, one can use landraces, adapted populations, exotic populations and commercial hybrids, which are readily available to lineages extraction and improved open pollinated varieties (OPVs). Thus, the aim of this review is to highlight the main dynamics involved in the genetic improvement of maize, the use of biometric models to select genotypes superior to grain yield and nutritional components. In this study it was possible to contextualize on: Botanical description, morphological and physiological characteristics, the genetic breeding, development of inbred lines, development of hybrids, variance components and genetic parameters, heterosis, diallel analysis, genotype x environment interaction, associations between traits and Restricted Maximum Likelihood and Best Linear Unbiased Predictor (REML / BLUP).