Good nutrition enhances one's physical and mental health, laying the foundation for advancement in education, employment, and economic growth. Physical infrastructures may have the potential of improving nutrition of women and children by improving food production and incomes of farm households. However, little research has been conducted to link physical infrastructure to nutrition outcomes. Motivated by this argument, this study examines the impact of market and storage facilities on child malnutrition ( i.e., stunting, wasting and underweight) , women’s and child’s dietary diversity in Ghana. We employ a multinomial endogenous switching regression model to analyze data from 1,492 Ghanaian households. We observed that the use of market facility only, storage facility only and both infrastructures significantly increases minimum dietary diversity of women (MDD-W) and child’s dietary diversity score (CDDS). A mediation analysis revealed that the pathways through which the use of markets and storage facilities may impacts on women’s dietary diversity were through higher crop diversification, increased income, and more accumulated assets. Likewise, the positive impact of markets and storage facilities on CDDS was mediated through higher crop diversification and more accumulated assets. As expected, the use of both infrastructures has the largest impact on MDD-W and CDDS. Moreover, for child malnutrition, we demonstrated that the use of market only, storage facility only and both infrastructures are negatively associated with wasting and underweight in children under five. Except for the use of market only, the use of storage facility only and both infrastructures have significant and negative impact on stunting. The negative impact of use of both markets and storage facilities on stunting was mediated through higher crop diversification. The study recommends that both government and interested investors should invest in market and storage infrastructures to help improve the nutrition of women and children in Ghana.