Abstract: For a determined mathematical model, it is not only necessary to obtain the estimates of parameters, but also their reliabilities. The present work deals with a sequential statistical design strategy for an experimental program to obtain precise parameter estimates for a nonlinear kinetic model. It aims at decreasing the indeterminatness of the parameter estimates, in reducing the correlation between parameter estimates, and in increasing the adequacy and accuracy of the model. The paper discusses the experimental design criterion for precise parameter estimates-the minimun volume design criterion and the spherical shape design criterion, and the practical value of a sequential statistical design strategy. At last, an example was performed to precise estimate the parameters in the kinetic model of ammonia synthesis reaction which was selected as being adequate in the previous work. Comparison of the results from the industrial unit and the corresponding values calculated with the model using the estimates of parameters reveals the reasonable reliability of the model.