The history of human society is one of unending quest for peace and justice as means to ensuring meaningful social relations. Thus, the discourses concerning religious beliefs, human security, individual and societal development which are core to human existence could hardly be made without recourse to either or both of, peace and justice. However, in practical terms both concepts are hardly seen as inseparable conjuncts in the quest for harmonious social relations because local and global peace, just and humane society are constantly threatened by religious extremism, ethnicity, unbridled partisanship, bad leadership, abbreviations of rights and freedom, nepotism, lopsided development and marginalization among other instances of man's inhumanity to humanity are prevalent. These, in praxis therefore, underscore the view that, even contemporary human society has not adequately countenance the necessity of a complement of peace with justice in order to ensure a just, well ordered and peaceful society. In addition, the pervasiveness of these contretemps in the society attest to the reality that, most cultures of the world profess the desire for peace without a concomitant quest for justice thus, consciously undermining harmonious relations. This paper argues that, for a constructive, productive and harmonious social relations to be in place in human society, practical demonstration of the conjunction of a culture of peace and sense of social justice by individuals, institutions and governments at every level of human social existence is instructive. In this wise, this involves there direction of the human minds to a moral world view that gives credence to mutual respect to the dignity of the human person, tolerance, promotion and protection of the freedom and rights of others, through the formulation and execution of sociopolitical, economic and educational programme that place greater value on human dignity. The paper consequently made a recourse to the traditional Yorùbá culture because of her unflinching preference for peace and the principles of social justice which have defined the people's interpersonal relations and their relations with other ethnic nationalities in Nigeria. It is argued that this culture has inherent values that can be appropriated as rudiments for the development of enduring social and political relations in modern society. The paper, consequently adopts the analytic and prescriptive approaches of the qualitative method of research.