This research studies numerically the heat transfer and fluid dynamic phenomena of a combined system of a cold plate and a fin heat sink. The corresponding geometric parameters and operating conditions are investigated to understand the cooling effect of the combined system. The results show that the cold plate has generally better cooling performance than that of the fin heat sink under normal operating conditions. It is also found that the cold plate and the fin heat sink can be individually analyzed and the their results can be then combined together to obtain the result of the whole combined system without significant difference.