The similarity of logistics functions of ports and the overlapped economic hinterlands, as well as the competition and mutual effects between port infrastructure contribute to the extremely complex service effect between logistics services of ports. How to define the complex network evolution patterns of service effect between different ports becomes essential. This study builds a BBV(Barrat, Barthélemy and Vespignani model) weighted network evolution model to analysis the complex network evolution laws of the service effect of typical seaports in coastal China. We select key assessment factors that affect the service effect of ports, establish a complex network analysis model for port service effect. 15 typical seaports in coastal China are selected for empirical research to verify the practicality and effectiveness of the established model in analysis for complex networks of ports' service effect. The results show that the network presents a hub-and-spoke spatial pattern featuring a small world and no scales, and presents polarized and complex evolution characteristics. The results of this study are conducive to government departments and policy makers for understanding port development and evolution laws, so as to roll out effective strategies as appropriate to manage and promote sustainable development of ports.