The importance of a port’s strategic position has long been recognized, during which process inter-port competition is becoming increasingly fierce. This paper aims to assess the domestic and international competition patterns of 43 coastal container ports in China. A global port competition network model (GPCN) is developed based on the global liner shipping network (GLSN) model and the multiple linkage analysis (MLA) method. In the GPCN model, three competition indicators (competition degree, competition intensity, and competitive pressure) are proposed to quantitatively describe the competitive patterns of Chinese container ports. This study has found that ports tend to compete with other ports that have similar competition degrees, and competition among large ports may be more intense. Additionally, a port’s traffic volume is correlated well with its competitiveness; the larger Chinese ports, such as Shanghai, Shenzhen, Ningbo-Zhoushan, and Hong Kong, have put much more competitive pressure on their smaller competitors than they are subjected to, and Singapore and Busan ports are found as the main competitive threats to the development of Chinese coastal container ports. The methodology developed in this study can provide a good strategic decision-making and guidance tool to quantitatively assess the competition situations of other countries’ coastal container ports.