Patterns of inequality tend to seriously undermine any attempt at economic growth policy when the inequality is perceived by significant groups of individuals as unjust, inhuman, and insurmountable. One country with a high degree of inequality has been Brazil (usually in the world top-10). Brazil had also witnessed strong dynamics of certain indicators, such as the Gini coefficient, over the last several decades. However, so far, such dynamics have not been properly analyzed, especially considering the significant differences across Brazilian states. For filling that gap, this study used econometric techniques specific to time series and tried to identify structural breaks in the series of Gini coefficients for the 27 Brazilian states since 1976. Results showed a tendency towards an increase in inequality until 1995, followed by a reduction in inequality since 2000. Some cases of Brazilian states were related to the absence of structural breaks, showing a maintenance of historical trends in the evolution of inequality, which raises important policies’ challenges.