The problem of model selection in a multiresponse system is tackled through the statistical distance. The criterion for designing experiments capable of producing the discriminatory observations, as well as the analysis of data for discrimination utilizes this distance. The method gives due importance to the covariance structure of the estimated responses. The information about the distribution of model parameters is also incorporated. A sequential approach is proposed along with the proper termination criterion which keeps a check on the unnecessary experimentation to be carried for achieving the discrimination. When applied to some kinetic modelling problems, the procedure exhibits high efficiency in picking up the correct model.