Specimens of the Pacific white shrimp Litopenaeus vannamei raised in a polyculture pond of grass carp Ctenopharyngodon idellus were collected biweekly for five months. Six common candidate growth models including the specialized von Bertalanffy, the generalized von Bertalanffy, Brody, Gompertz, Logistic and Richards were used to fit the growth process of L. vannamei. The growth parameters of these models were estimated using maximum likelihood methods, and the model fitting was determined by the Akaike information criterion (AIC) and Bayesian Information Criterion (BIC). The results showed that body weight vs body length relationship of L. vannamei was W=0.0106L^3.066(R²=0.987), which presented the positive allometric growth (b＞3) by t-test. According to AIC and BIC tests, the models of the specialized von Bertalanffy, the generalized von Bertalanffy and Brody essentially were not used because of no proted data, while the models of Richards, Logistic and Gompertz received strong support from the data with AIC and BIC tests. However， no one model of akaike weight exceeds 95%, and can be used separately to describe the growth relationship between the body length and culture day of L. vannamei. Therefore the model-averaged asymptotic length L_∞ of L.vannamei was estimated as a weighted average using three models. The growth parameter estimation was L_∞=13.741 cm (w_∞=32.694 g) of L. vannamei by multi-model inference approach. [Chinese Fishery Quality and Standards, 2024, 14(4): 45-53]