Evaluated data for l0 breeds of beef cattle, collected by the Czech Association of Beef Cattle Breeders, consists of 20,277 records for birth weight (W0), 15,598 for weight at age 120 days (Wl20), 14,452 for weaning weight (WW), all recorded in field test, and 2,819 records for average daily gain (ADG) from age 7 to I I mounts recorded in performance test stations. Genetic parameters were estimated using multi-breed multi-trait animal models. Within breed heritability was in all models for W0 around 0.24, for Wl20 around 0.17, for WW around 0.17 and for ADG around 0.29. The select criteria favored the model with permanent environmental effect of animal.