Along with the unprecedented improvements in health outcomes such as life expectancy in the last decades, it remains huge disparities in terms of longevity across countries, and even from individual to another. This may have consequences on social equity and on the economic development of a country. In this paper, we introduce heterogenous agents in an overlapping generations model with pollution and private/public health expenditures that affect the agents' length-of-life. Heterogeneity stems from households preferences for health, as a consequence of a minimum consumption requirement on other goods. Therefore, households do not choose the same level of private health expenditures and this generates health inequalities. In addition, the contribution to capital accumulation differs across individuals. However, an appropriate environmental policy may reduce health inequalities.