In this article the fundamental relations of property are considered. So far in the foreign and domestic literature exclusively such characteristic of these relations as the property rights are analyzed. The corresponding theory is even created. However there was the other practically without reflection, dialectically opposite side of these relations – the owner's duties. In the article the open list of fundamental obligations of the owner and their short theoretical justification is offered. Need of the analysis of a ratio of the rights and duties proceeds because of the not individual, but public nature of economic category of the property.