The evaluation of an animal is based on production records, adjusted for environmental effects. Highly reliable daughter yield deviations are used as inputs for genetic marker evaluation. Genetic variability is explained by particular loci and background polygenes, both of which are described by the genomic breeding value selection index. Determination of many single-nucleotide polymorphisms can increase the reliability of evaluation of young animals. However, the introduction of SNPs requires a mixed model with a large number of regressors, in turn requiring new algorithms for the best linear unbiased prediction and BayesB. Here, we discuss a method that uses a genomic relationship matrix to estimate the genomic breeding value of animals directly, without regressors. A one-step procedure with augmented pedigree-genomic relationship matrix evaluates both genotyped and ungenotyped animals at the same time.