The transient behavior of automobile monolithic converters has been studied using a mathematical model which accounts for the simultaneous processes of heat transfer, mass transfer, and chemical reaction. The monolith response to a step increase in the feedstream temperature was examined as a function of catalyst design parameters and operating conditions In order to analyze their effects on the lightoff behavior of monolithic catalysts. Also, our simulation results showed that a step decrease In the feedstream temperature can lead to a somewhat unexpected transient temperature rise in the solid phase (that is, the catalytic wall) above its initial temperature, provided that the reactant concentrations in the feedstream are sufficiently high. This phenomenon is similar to the "wrong-way" behavior In packed-bed reactors previously reported in the literature.