This chapter provides a comprehensive exploration of Graph Neural Networks (GNNs) and their applications in two critical domains: social network analysis and knowledge graph completion. We begin by introducing the foundational concepts of GNNs, including their architectural variants like Graph Convolutional Networks (GCNs), Graph Attention Networks (GATs), and GraphSAGE. The chapter then delves into the practical application of these models for tasks such as community detection and node classification in social networks, using the Cora citation dataset as a case study. Subsequently, we investigate the role of GNNs in knowledge graph completion, focusing on link prediction with the FB15k-237 dataset. A hybrid GNN framework is proposed, integrating multiple architectures to address the distinct challenges of each domain. The chapter presents a detailed methodology, including the experimental setup, training configurations, and evaluation metrics. The results and discussion section provides a thorough analysis of the model’s performance, including comparisons with baseline models and ablation studies. Finally, we conclude with a summary of the key findings and a discussion of future research directions in the field of GNNs.