On the choice of an idea of justice (whether there will be any!), to be taken by the humankind as the main mind-set guideline for the foreseeable historical perspective, would depend to a great extent its ability to confront the challenges of the modern age with its globalisation, informatisation, explosive development of biotechnology and other processes. One of the key elements of this discussion – the question whether justice is a legal phenomenon resuming in itself a generally valid result of a rational and logical interpretation of social realities or justice – is a phenomenon of morality caused by the specific historical and sociocultural peculiarities of a particular society. The article elaborates the thesis that the rejection of a universally valid legal approach to the interpretation of justice as equality in freedom is fraught with imposing on the whole world (including the means of modern information technologies) one-sided notions of justice meeting the interests of the most influential actors of global relations system. Within the context of such an approach the author considers the notion of the European consensus aimed at European moral values, as well as the practice of realisation thereof in the activities of the European Court of Human Rights. The thesis is that overcoming of the emerging dangerous trend towards ideological unipolarity in the interpretation of justice should be sought on the path to the synthesis of the values of individualism and solidarity.