Abstract: In the field of international comparison, the famous G-K systemic techniques is always used by economic experts,. In this paper, sufficient and necessary condition of the G-K systemic technique having the unique positive solution is obtained and proved in a very simple manner in the purchasing power parity multilateral international comparison. Moreover, in study of the multilateral comparison in the paper, we will apply ourselves to the positive analysis among countries which include USA, UK, Korea, Japan, Germany, Indonesia and China for the benchmark year 1994, based on the industry of origin comparison, in order to further discuss the international competitiveness of Chinese manufacturing. The multilateral PPPs and international prices are calculated, these results can be compared real outputs and labor productivities among the countries that are involved in this study.