Abstract: The growth potential of Gansu Alpine Merinos was studied to select the optimal cross combinations and provide a theoretical basis for rationally using germ plasm resources. Logistic and Gompertz model were first used to fit the early growth progress of F₁ lambs of Gansu Alpine Merino, Texel (TG) and White Suffolk (WSG) breeds. At the same time, the observed values of growth and development of crossing lambs and parameter evaluation were analyzed to evaluate the hybrid vigour. Two models had a goodness of fit >0.99. The Gompertz model fitted well for TG but the Logistic model was better for WSG. The growth inflexion of male lambs and female lambs of TG was 60.15 and 56.24 days, and the inflexion weight of male lambs was 0.73 kg higher than that of female lambs; the growth inflexion of male lambs and female lambs of WSG was 78.20 and 72.08 days with an inflexion weight of male lambs that was 1.27 kg higher than that of female lambs. From 1-month-old to 6-months-old, the cumulative growth of male and female lambs of TG were all higher than those of male and female lambs of WSG (P<0.05). The biggest daily gain, instantaneous growth rate, relative growth rate and mature weight of model parameters of TG were all larger than those of WSG, while the average T_10-90 value of TG was smaller than that of WSG, which means that the early growth of TG lambs was better than that of WSG. The TG crossing model was therefore better than the WSG crossing model.