In recent years, the concept of green entrepreneurship has gained momentum globally as an emerging approach toward achieving sustainable development goals (SDGs). Vietnam, with its youthful demographic profile and growing environmental concerns, presents an intriguing context for examining the drivers and barriers to green entrepreneurship. Therefore, this study aims to explore factors affecting the green entrepreneurial intention (GEI) of Vietnamese young people using an extended model from the theory of planned behavior. We collected data from a sample of 150 young people from 16 to 30 years old in Vietnam. We employed partial least squares—SEM analysis in SPSS software to predict GEI. Our research results imply that environmental values significantly influence young Vietnamese individuals’ interest in green entrepreneurship. Those with strong environmental values are particularly inclined toward environmentally friendly business practices. In addition, entrepreneurship education also plays a vital role in shaping green attitudes and behaviors among young people with high environmental values, thus fostering an increased intention to engage in green business ventures. Based on the findings, some recommendations were proposed to promote green entrepreneurship in Vietnam.