This paper analyzes the price competitions between Chinese Petroleum Company (C.P.C) and Formosa Oil company (F.O.C.) after oil market oil market was deregulated. Such a competition involved different mechanisms of public company from private enterprise. This is an unfair game. In the long-run, if C.P.C. and not decrease his cost effectively, he will be out from the oil market. In additions government must establish oil price guide system to avoid oil market unstable.