This paper elaborates and provides detailed account of the establishment and execution of parent-child relationship as well as the effects of the issue on providing parents care after divorce. A non-custodial parent with a restricted right of providing parents care in full or partially, has the right to establish their personal parent-child relationship. In addition, the paper explains who, namely in what manner and circumstances such personal-parent child relationships are executed. The execution of the same requires special supervision by relevant authorities, i.e. Social care centers. Social care centre with a local jurisdiction based on the residence of a child, nominates by decision an expert-person to carry out the monitoring. The monitoring is carried out in compliance with the Rulebook on carrying out the monitoring thr execution of parent-child relationship. Given that the execution of the parent-child relationship is a complex and comprehrnsive term nowadays and widely open for discussion, this paper will try to explain certain issues. Also, a part of this paper is on the Convention on the rights of a child which, among other things, suggests that children must be allowed to participate in the resolution of the issues with effects on their lives and, accordingly, express their opinion which must be given a serious consideration. Besides aforementioned monitoring, their are other measures regarding the rights of the child established in the Family law ( Official gazette N° 103/15) tackled in this paper.