The suitable data subset and statistical model for the estimation of genetic parameters for weaning weight of beef cattle in the CR were selected. The most suitable subset satisfied these conditions: at least 5 individuals per each sire, 5 individuals per HYS (herd, year, season), 2 sires per HYS, and individuals per dams that have at least one half-sister and two offspring. The models comprised some of the random effects: direct genetic effect, maternal genetic effect, permanent maternal environment effect, HYS, sire x herd or sire x year interaction, and some of the fixed effects: dam´s age, sex (young bull, heifer x single, twin born), HYS, year, herd. The direct heritability ranged from 0.06 to 0.17, and the maternal heritability from 0.03 to 0.06.The genetic correlations between the direct and maternal effect were in the range of -0.15 to 0.42.