Unfortunately, Ukrainian children and their parents are faced with a lot of serious challenges to their rights and the situation as a result of Russian-Ukrainian war. Taking into account these challenges, the author focuses on the rules of two Hague Children’s Conventions: Convention of 25 October 1980 on the Civil Aspects of International Child Abduction and Convention of 19 October 1996 on Jurisdiction, Applicable Law, Recognition, Enforcement and Co-operation in Respect of Parental Responsibility and Measures for the Protection of Children. One of the aims of the article is to compare court decisions, delivered in child abduction cases by Ukrainian courts and courts of the foreign states after February 24, 2022, in order to answer the question about the influence of issues of the security situation in Ukraine on the application of Article 13 (1) (b) of the 1980 Hague Convention. Attention is also paid to Article 21 of the 1980 Hague Convention and the institution of provisional measures of the 1996 Hague Convention that can be imposed in international child abduction cases, as alternative ways of (judicial) protection of the rights of parents-citizens of Ukraine who remained in Ukraine and lost contact with their children as a result of their removal abroad. The article also deals with specific issues of jurisdiction of the cases on determining the place of residence under the 1996 Hague Convention and peculiarities of the proceedings on establishing the fact of birth of a child on the temporarily occupied territories of Ukraine, over which Ukraine does not exercise effective control nowadays, particularly applying the rules of the Code of Civil Procedure of Ukraine and the Namibia exception. All of the abovementioned issues are analyzed, among others, on the basis of the Supreme Court Resolutions.