Aim: To substantiate the idea and to develop and test an experimental program for the use of BGP as a component of blockchain technology to improve existing strategies for resolving pedagogical conflicts in educational institutions. Materials and Methods: The research methodology synthesizes two components. The first is based on the experience of researching psychological and professional conflicts (essence, categories of participants, forms of behavior in conflict, etc.). The second component i.e. the BGP phenomenon is presented through the prism of conflict theory. Results: At the preparatory stage, three groups of experiment participants were identified, i.e. experimenters who developed its theoretical and technological principles; the control group (hereinafter CG) consisting of 56 undergraduate students of the 4th year of studying at the Pedagogical Faculty of Vasyl Stefanyk Precarpathian National University (Ivano-Frankivsk, Ukraine), who participated in the ascertainment experiment; experimental group (hereinafter EG) consisting of 22 students separated from the CG, who participated in the formula and control stages of the experiment. To achieve consensus understanding in the BGP conflict allows to create a system that ensures clear transmission of information; protects against non-fulfillment of agreements; stipulates actions if one of the parties violates them. On this basis, the core idea is substantiated, according to which, to reach a consensus it is enough for the majority of the participants in the conflict to take an agreed compromise position, then the minority, by force of internal conviction, agrees and accepts the agreements reached. Conclusions: The presented results of the research generally confirmed the hypothesis that BGP, as a component of blockchain technology, can become a productive tool for resolving interpersonal and group conflicts in in various social and professional environments. The conceptual and methodological idea based on the analysis of the BGP phenomenon assumes that in order to resolve the conflict, it is not necessary to reach complete agreement between all its participants. To achieve understanding and consensus, it is enough for the majority to take an agreed compromise position, then the participants in the conflic who are in the minority, due to their internal moral convictions, will be forced to agree and fulfill the agreements reached by the majority.