Focusing on the problem that it is difficult for the existing group recommendation models based on Graph Neural Networks (GNNs) to fully utilize explicit and implicit interaction information, a Group Recommendation by GNN based on Multi-perspective learning (GRGM) model was proposed. Firstly, hypergraphs, bipartite graphs, as well as hypergraph projections were constructed according to the group interaction data, and the corresponding GNN was adopted aiming at the characteristics of each graph to extract node features of the graph, thereby fully expressing the explicit and implicit relationships among users, groups, and items. Then, a multi-perspective information fusion strategy was proposed to obtain the final group and item representations. Experimental results on Mafengwo, CAMRa2011, and Weeplases datasets show that compared to the baseline model ConsRec, GRGM model improves the Hit Ratio (HR@5, HR@1) and Normalized Discounted Cumulative Gain (NDCG@5, NDCG@10) by 3.38%, 1.96% and 3.67%, 3.84%, respectively, on Mafengwo dataset, 2.87%, 1.18% and 0.96%, 1.62%, respectively, on CAMRa2011 dataset, and 2.41%, 1.69% and 4.35%, and 2.60%, respectively, on Weeplaces dataset. It can be seen that GRGM model has better recommendation performance compared with the baseline models.