The rapid expansion of globalization in the world and the extremely rapid development of science and technology has made global climate change one of the biggest challenges of mandkind in the 21st century, and the problem will only worsen. In this context, education is essential if we are to effect a positive change in the behavior and attitudes of individuals and communities to mitigate and adapt to climate change. The best way to enhance awareness and capabilities of people, especially young people, to tackle climate change is to improve education - to change education for education for sustainable development (CCESD), and to improve the quality of teaching by forming teacher education organizations. A leading university of teacher education in Vietnam, Hanoi National University of Education (HNUE), has been active and dynamic in strengthening CCESD activities in its teacher education programs and has gained significant successes.