The kinetics of ester interchange reaction of dimethyl naphthalate(DMN) with ethylene glycol(EG) has been studied in the range of 180-200 $^{\circ}C$ using zinc and manganese catalysts. The reaction was performed in a semibatch reactor under nonisothermal condition and the degree of reaction was calculated from experimental data of methanol removal rate and reaction temperature. As a reaction model, both the functional group model and the molecular species model were applied and analysed. In case of zinc catalyst, the ratio of reaction rate of methyl hydroxyethyl naphthalate(MHEN) with EG on that of DMN with EG is about 1.4, whereas in case of manganese catalyst the ratio is about 4.3, which implies that the reaction rate is quite dependent on the type of catalyst. In case of zinc catalyst, the reaction order of catalyst concentration on either DMN or MHEN and EG is less than 1, whereas in case of manganese catalyst, the reaction order is larger than 1. The activation energy for zinc and manganese catalyst, irrespective of the type of molecular species, e.g., DMN and MHEN, were found to be 25000 and 28750 cal/mol, respectively. As a result of comparing two reaction model, the molecular species model fits well for the experimental data.