The focus of this article is that Polish legal provisions on civil liability for nuclear damage do not reflect the provisions of the Vienna Convention in all aspects. However, due to some limitations hereof, the considerations presented deal only with some selected issues that may affect the availability of nuclear third party liability insurance, and will be divided into two parts.The aim of the first part is to consider the major differences between the provisions of the Nuclear Law Act and the Vienna Convention, which include, among others, different deadlines for seeking compensation for nuclear personal injury and/or methods for satisfying such claims. Since both issues refer to personal injury, the notion of the latter is analysed, bearing in mind that certain discrepancies between the Polish Act and the Vienna Convention can also be noted.The second part discusses terms and conditions of third party nuclear liability insurance, entities specializing in offering such insurance, including nuclear pools and nuclear mutual insurance companies, as well as obstacles that may prevent third party nuclear liability insurance from being offered on the Polish market as compulsory insurance.This article covers only the rules relating to civil liability for nuclear personal injury resulting from the operation of a nuclear power plant, with those rules being considered primarily from the perspective of the insurance practice. The principles of civil liability for the transport of nuclear material from nuclear facilities, the operation of research reactors or of radioactive waste storage facilities have not been taken into account, as both insurers’ approach and terms and conditions of insurance covering said activities may vary slightly when compared with nuclear power plants.