Typically, the maximum converter skin temperature occurs when the catalytic converter is in the cool down process after the engine is shut-off. This phenomenon is called temperature soaking. This paper proposes a numerical method to simulate this process. The converter skin temperatures vs. time are predicted for the converter cool down process. The soaking phenomenon is observed and the maximum temperature is determined. Temperatures are also predicted for the exhaust gas, substrate, mounting mat and shell of the converter assembly. The numerical results are validated with measurements, and an acceptable correlation is achieved. This study focuses on converters with ceramic substrates; however, this methodology can also be used for converters with metallic substrates.