<p>This article investigates the impact of the minimum wage on household poverty and inequality. It uses panel data from 31 countries from 2001 to 2021, fixed-effect and S-GMM methods, and several measures of poverty and inequality. The results suggest a non-linear relationship between the minimum wage and poverty and inequality. Initially, the minimum wage reduces poverty and inequality, but this reduction diminishes with further increases in the minimum wage. From a certain value, the effect reverses, and the minimum wage increases poverty and inequality. The minimum wage appears to be more effective in reducing the incidence of poverty rather than the depth of poverty. Furthermore, the $6.85 per day poverty line is more impacted by changes in the real minimum wage than extreme poverty. We identified that the tipping points change according to the line and the poverty indicator being analyzed, while the tipping points of inequality are similar for the three indicators used. Finally, employment policies and investment in education appear to be good tools for combating poverty and reducing inequality.</p>