The Socially Responsible Quality (SRQ) is a new concept in quality management. Enterprises and corporations will need to adopt this concept to improve project management. Enterprises and corporations should fulfill their responsibilities to society so that they can gain society's confidence. To achieve this, they must adopt the SRQ concept. According to the traditional quality concept, excellent products are required to satisfy two quality elements : normal quality and attractive quality. The yardstick for judging a good company has also been based on this consideration. Because of the paradigm shift on economics, products, service and life-style of people generate another requirement for the significance of companies, i. e., responsibility for residents and their society that are influenced by company activities. In the concept of the SRQ, the element of company responsibility for their product activities is defined by "environmental conservation", "safety" and "usability". These are necessary conditions to realize true sustainable development of society and companies. One of the characteristics of the SRQ is to clearly introduce the concept of "time" into reliability and safety management. Life-cycle considerations and future risks are considered in the concept as a frame of the proposal. This paper proposes the SRQ concept as the base of Enterprise Project Management and considers its implementation.