The aim of this study was to estimate genetic parameters and determine ratio efficiency of selection for weaning weight (W205), weight at 450 d (W450) and weight gain from weaning to 450 d (PWG450) in Brahman cattle. Traits were studied through multivariate analyses. Variance components were estimated by restricted maximum likelihood performed by the software MTDFREML. The Statistical model included the fixed effects of contemporary group (composed by farm, crop and birth season, sex, and weaning and yearling management groups) and the linear covariate age, the random effect of animal and residual. For weaning weight, the management group at yearling was excluded from the contemporary group and the fixed effect of dam at calving age (3 to 9 years and more than 9 years) and the effect of permanent environmental were included. Purpose of ratio efficiency was verifying the efficiency of genetic gain as a function of indirect selection. Observed means of W205, W450 and PWG450 were 197 ± 34, 320 ± 74, 118 ± 59. Estimated heritability of W205, W450, and PWG450 were 0.18, 0.16 and 0.12. W205 and W450 had very high genetic correlation (0.89). GPW450 had high genetic correlation with W450 (0.79), but relatively lower correlation with W205 (0.43). For all traits, the direct selection was more efficient. Information obtained suggests slow genetic gain for W205, W450 and GPW450. GPW450 was appropriate to use as selection criteria because it showed less influence of weaning weight, and high correlation with W450.