Trust as a subject of researches has a long history. It has been regarded as the basis of human relations. Many famous sociologists G.Simmel, F.Tonnies, P.Blau, G.Homans, F.Fukuyama, A.Giddens, N.Luhmann, P.Sztompka) researched the special role of trust as a regulator in social interactions. Medicine is only one social institution, where the trust has always been regarded as a key element. For a long time period, trust was in the base of the social contract between society and physicians. According to its conditions, the medical corporation has been entrusted with the task of caring health of its members by society, and in turn, the medical corporation has received exclusive conditions of the activity: the special professional status, prestige, internal control and audit. However, under the influence of change in modern society, the present paradigm of clinical medicine is replacing by evidence-based medicine, that alters the role of a physician, who has been losing his unique position as a leader in the treatment, but becomes a part of the complex organizational system. Thus, there is a change in the model structure and organization of Medicine as a social institute and its interconnections to the society. And now question is following: what place is given for trust? As shown by the results of sociological researches, in the modern transforming society, under the conditions of the decomposition of the structure and transformation of hierarchical relationships into the linear or network forms, a basic or personal trust comes again the leading role in social interactions.