This study addressed the procedural aspects of the claim for civil liability for nuclear damage in accordance with the newly promulgated Law on Civil Liability for Nuclear Damage No. 4 of 2012 of the United Arab Emirates and the Vienna Convention. The study was divided into two main investigators; the first main investigator examined the parties to the claim for nuclear damage, which, in turn, was split into two main sections: the first section examined the claimant, and the second section examined the defendant. The second main investigator of this paper examined civil liability for nuclear damage, which, in turn, was split into two main sections: the first of which addressed the jurisdiction in the claim for liability for nuclear damage, and the second of which dealt with the time to initiate proceeding. The study based its conclusions on several findings and recommendations, the most important of which was to propose amendments to the Civil Liability for Nuclear Damage Act in line with the general rules of civil liability and the Vienna Convention.