In this article, the concept of fair domination in graphs has been extended to hypergraphs, offering new insights and applications. This study establishes bounds for the fair domination number in hypergraphs and determines exact values for specific classes of hypergraphs. In addition, this study presents extensions of several established results on fair domination in graphs. This comprehensive examination of fair domination in hypergraphs contributes significantly to the broader understanding of domination parameters in hypergraphs, with potential implications for related fields and applications.