While the structural change literature has been mainly focused on explaining the Kuznets Facts - a set of regularities concerning sectoral dynamics throughout economic growth - important issues were left apart. Inequality was one of them: Simon Kuznets, the father of this literature, when making some of the first documentation of structural change patterns, repetitively expressed his concern that inequality and sector reallocation were linked. In this regard, we seek to extend the benchmark model of structural change to introduce wealth and income distribution. We allow idiosyncratic risk and incomplete markets in a two-sector environment of growth. In a quantitative exercise, a secular transition from a poor and good s producer economy to a richer and service-based one is conducted. The model can account for an inverse U-shaped path for inequality as growth takes place. Our contribution is to suggest how a time-varying relative price of consumption and investment - yielded by the model s multi-sector structure - plays a role in the inequality behavior. We also show that the subsistence consumption requirement, typical of structural change setups, can influence distributional variables. The model is extended with a restriction over workers capacity to move across sectors - and we show that it amplifies the inverse U-shaped path followed by the income and wealth Gini. Finally, the model is calibrated for the US economy (1950-2000), yielding qualitative and quantitative evidence of the effect on inequality from both mechanisms presented above (relative prices and subsistence consumption). Quantitative strength, however, is in some cases limited.