Vietnam’s extensive eastern coastline exposes it to frequent hydro-meteorological hazards, including severe storms, cyclones, floods, landslides, and coastal erosion. Central Vietnam’s Thua Thien Hue Province is especially vulnerable. Climate change is expected to intensify typhoons and alter rainfall patterns, making effective disaster risk reduction (DRR) education imperative. However, minimal literature is currently available to describe the status of climate change and DRR education in Vietnam and its related problems. Education is crucial to reducing disaster risks and addressing climate change, aligning with the Sendai Framework for DRR 2015–2030. This study offers insights into Vietnam’s current climate change and DRR education to enhance its effectiveness. The methodology includes analyzing government and research reports, meetings, interviews with school administrators and local governments, and reviewing new primary school textbooks for disaster risk and climate change content. This paper’s results emphasize the commendable efforts made by government schools and educational institutions in mitigating the risks associated with natural disasters. This study also highlights the significant improvements in Vietnam’s disaster management framework. Additionally, the research findings indicate that disaster risk is addressed in specific subjects such as Vietnamese, Nature and Society, History and Geography, Ethics, Sciences, and Experimental Activities, as well as the absence of climate change in the curriculum. The differences in disaster risk and climate change content between old and new textbooks were revealed. Shortages in drills, materials, and time for DRR and climate change education are challenges. Nevertheless, government and school support, as well as dedicated teachers, are crucial in promoting DRR education and climate change adaptation.