With economic development and globalization, more organizations have been cooperating with foreign enterprises, which brings not only opportunities but also management difficulties and competitions with organizations. Organizations must improve their management and adapt to changing market conditions and the requirements and needs of its customers to maintain and strengthen its position in the market. Management by Project (MBP) uses technical methods of modern project management (PM) to manage various tasks and activities that are considered as projects. It is an effective way to solve management problems and improve management levels and enterprise competitiveness. However, few small and medium-sized enterprises apply MBP in their operation and management processes. Therefore, this paper presents a new idea to promote the application of MBP and the formation of a PM culture within society. In this paper, we searched a major database using the systematic literature review method and analyzed the articles directly or indirectly linked to our paper to obtain literature supporting the views of this article. First, this paper presents a new kind of management culture from the social aspect, termed as Social Project Culture (SPC), which can promote sustainable development and improve the management level and efficiency of organizations by promoting MBP application across society. Second, by analyzing the SPC definition, its three functions, i.e., project management behavior, management and risk control capacity, and international competitiveness, are provided. Then, to help organizations apply this method, an evolutionary path is proposed, including the creation stage, formative stage, mature stage, and heritage stage. Finally, to ensure the continued optimization of SPC, four safeguard measures in terms of theory, institution, behavior, and ideology are proposed.