Summary: Individual and maternal additive and non-additive effects for weights taken every 3 months from birth to 36 months were estimated for Hereford (H/H), Angus (A/A), Salers (S/S) and Nellore (N/N). For the analysis 45.794 weight records from 4.050 animals (2.036 male and 2.014 females), were used. Data corresponds to 39 different breed combinations, H/H and A/A pure breed and 37 groups whit A/A, S/S and N/N crosses with H/H. Data was grouped into 754 contemporary groups defined by sex, year at birth, calving period, experiment, cow parity and the date of weight. Parameters were estimated through model were genetic crossbreeding effects based on Dickerson full model. British breeds provided improved combinations of additive effects, while Zebu breed provided larger values for heterosis and recombination loss. The benefit of using crossbred females is maintained until 3 years of age for British x British and British x Continental. The benefit is also maintained until 3 years of age for Zebu x British while proportion of British is larger than proportion of Zebu. Additive and non-additive effects relevance are maintained at least until 36 months of age. The best combination for growth until 36 months of age is obtained by F1 N/H females, given the maximum use of maternal heterosis and the use of half of the individual heterosis between these breeds, which compensates the negative additive effects of the Zebu breed.