Entrepreneurial vision promotes innovation, which is a critical factor contributing to the success of an organization in the globalized world. However, the increasing awareness regarding sustainable development among people worldwide has not induced an increase in organizations’ concerns about environmental issues. An organization’s green shared vision (GSV) states its environmentally friendly philosophy to its members; however, few studies have examined GSV from a cross-level perspective. To fill this research gap, this study examined the influences of GSV on the psychological processes, attitudes, and behaviors of organization members. This study focuses on individuals’ psychological processes to explore the relationships among an organization’s GSV, green product psychological ownership (GPPO), proactive green innovation (PGI), reactive green innovation (RGI), and green creativity (GC). This study’s participants are employees from the research and development, design, marketing, and sales departments of small and medium-sized enterprises in Taiwan. The results obtained by surveying 575 employees in 72 teams indicate that team-level GSV has a positive and significant relationship with GPPO and GC at the individual level. In addition, our research results indicate the existence of mediating effects in the relationships between GPPO and GC and between PGI and RGI. Thus, GSV, GPPO, PGI and RGI greatly influence GC. Consequently, an organization should develop GSV to promote GPPO among its members to facilitate green innovation and enhance the GC of its members.