Academic institutions and campuses in Australia have witnessed an increase in academic and research activities. This has increased the resource consumption and contributes to impact on environment. The growth in consumption of information technology through various initiatives such as research data repositories (ARROW, ANDS), eResearch and eLearning has contributed to the environmental impact. There is a need for universities and academic institutions to think strategically and holistically about Green Enterprise Architecture of their educational and research enterprises. We introduce a strategic approach for implementing Green Enterprise Architecture (EA) based on Total Sustainability Framework (TSF) and Total sustainability Indicator (TSI) using a case study. Application of TSI and TSF in achieving Green EA would assist universities in meeting their goals and objectives of sustainability in a holistic and balanced manner.