The contemporary conception of private property is still nowadays based on an interpretation of it that emerged in the seventeenth century, in reference to the state of nature. Although this interpretive context has changed, the prevalence of an individualistic and substantialist interpretation of what is possessed persists. In this paper, we will highlight some interpretative models of property which are not primarily attached to the individual but which are grounded on the entitlement of rights over the qualities of things to the individual. Firstly, we will identify the elements and the mechanisms that led to build the domestic sphere as the legitimate space in which to the goods are negotiated and the property transferred. Then we will propose an interpretation of private property referring to a convention rather than to a state of nature — even a familial one —, i.e. referring to social aims rather than to individualistic goals. Thirdly, we will examine the meanings of a concept of private property and social property taking into account the conditions of a fairer social contract for all.