Abstract Background The double burden of malnutrition consists of the coexistence of nutritional deficiencies (malnutrition and overweight/obesity. Approximately 2.28 billion children and adults are overweight, and more than 150 million children are malnourished. The Decade of Action on UN Nutrition and SDGs that broaden the focus to both sides of malnutrition: overweight/obesity and nutritional deficiencies. Objectives To analyze the global burden of disease attributable to undernutrition and high body mass index (BMI) in Brazil and its 27 states, as well as its association with the socio-demographic index (SDI) from 1990 to 2019. Methods: Study design This is an epidemiological time-series study. This study analyzed the undernutrition and high BMI estimated by the Global Burden of Disease study conducted from 1990 to 2019 for Brazil and its states, using the following metrics: absolute number of deaths, standardized mortality rate, and disability-adjusted life years (DALYs). This study also analyzed the correlation between the percentage variation of mortality rates and SDI. Results A decrease in the number of deaths (75%), mortality rate (75.1%), and DALYS (72%) attributable to undernutrition was found in Brazil and in all regions. As regarding the high BMI, an increase in the number of deaths was found (139.6%); however, the mortality rate (9.7) and DALYs (6.4 %) declined in all regions, except in the North and Northeast regions, which showed an increase. A strong correlation was identified between undernutrition and high BMI with SDI. Conclusions Our study observed a double burden of malnutrition in Brazil, with a reduction in the burden of diseases due to malnutrition in Brazil and variation in the burden due to high BMI according to the socioeconomic status of the region. Public policies are necessary in order to guarantee the human right to a healthy and sustainable diet, together with food and nutrition security and a diminishing of social inequality. Key messages • Overcome the malnutrition public policies are necessary to guarantee the human right to healthy and sustainable food, such as encouraging the production and commercialization of fruits & vegetables. • Overcoming undernutrition and excess weight requires public policies aimed at reducing social inequality and providing access to healthy food for all, and taxation of ultra-processed foods.