The author's model of process of formation of professional competence of students, future social workers on work with a family of repeated marriage is presented. Practical value of such model consists in adequacy and completeness of reflection of the main requirements shown to professional competence of the modern graduate of higher education institution. A methodological basis of this work was the complex of the interconnected approaches, such as: system, kompetentnostny, personal focused, deyatelnostny, conceptual bases of creation of model of the graduate of higher education institution on the basis of which the presented model was developed also were applied and pedagogical conditions of its formation are revealed. The developed model during the approbation showed the efficiency and the importance, and can be applied in Higher education institution to formation of professional competence at future social workers on work with a family of repeated marriage