Sustainability accounting has moved from the margins of corporate reporting to the center of decision-making for investors, regulators, and society. The growing emphasis on environmental, social, and governance (ESG) information, climate-related risk disclosures, and integrated reporting has created an urgent need for accounting graduates who are competent in measuring, reporting, and assuring sustainability-related information. This paper examines the imperative of incorporating sustainability accounting into accounting curricula and proposes a structured, competency-based curriculum framework suitable for undergraduate and postgraduate programs. Using a conceptual and literature-driven methodology, the study synthesizes prior research on accounting education reform, sustainability reporting, and professional competency development. The paper develops a Sustainability Accounting Curriculum Integration Framework (SACIF), outlines pedagogical approaches, assessment strategies, and institutional implementation pathways, and discusses challenges faced by educators. The study contributes to accounting education literature by offering a comprehensive, practice-oriented roadmap for embedding sustainability accounting across core accounting courses rather than treating it as a standalone elective.