While tissue amino acid compositions reflect that of the dietary protein source, and the liver orchestrates amino acid metabolism. In this study, we investigated the muscle amino acid profiles in ordinary and crisp grass carp. The 22 amino acids were measured, and seventeen showed significant concentration differences. To understand the molecular mechanisms behind changes, we analyzed the liver transcriptome, and the 2519 differentially expressed genes (DEGs) were identified, with 1156 up-regulated and 1363 down-regulated genes. DEGs were enriched in ribosome-related biological processes. KEGG pathway analysis showed enrichment in tryptophan metabolism, lysine degradation, valine, leucine and isoleucine degradation, galactose metabolism, and glutathione metabolism with up-regulated genes, arginine and proline metabolism, arginine biosynthesis and alanine, aspartate, amino sugar and nucleotide sugar metabolism, N-Glycan biosynthesis and glutamate metabolism with down-regulated genes. A protein-protein interaction network with 260 nodes and 249 edges was constructed, and 3 modules were extracted. The top 10 hub genes with close connections to other nodes were ITM1, STT3B, SEL1L, UGGT1, MLEC, IL1B, ALG5, KRTCAP2, NFKB2, and IRAK3. In summary, this study identified candidate genes and focused on amino acid and glycan metabolism pathways, providing a reference for further investigation into liver amino acid metabolism in grass carp fed with broad beans.