Abstract: The evolution of enterprise innovation network is an important basis for analyzing the change of enterprise innovation ability. Under the impetus of economic globalization, the evolution of the innovation network in the host country is affected not only by the foreign R&D investment, but also by the overseas R&D investment of the local enterprises. Based on the theory of enterprise life cycle and the connotation and elements of enterprise innovation network, this paper firstly analyzes the evolution process of enterprise innovation network and divides it into four stages, including the formation stage, the expansion stage, the maturity stage and the change stage. Secondly, it explores the characteristics of every stage and the development rules of the enterprise innovation network in the process of evolution. At last, take the Huawei Technologies Co., Ltd. as an example to study the evolution process of the innovation network of the local enterprises in China from the perspective of globalization, analyze the characteristics and rules of the evolution of innovation network of the local enterprises, and summarize the relevant inspiration.