During in silico research, based on molecular docking, dynamics simulation, network pharmacology and ADMET (absorption, distribution, metabolism, excretion, and toxicity) property, 31 potential compounds are obtained from seven Chinese medicinal herbs containing coumarins. Moreover, mechanism researches discover these compounds treat influenza A virus through key targets TLR4, MMP9, and IL6 (high fever, acute respiratory distress syndrome), MAPK1 and MAPK3 (MAPK signaling pathway, viral RNP export and viral protein expression), CASP3 (apoptosis), EP300 and CREBBP (viral myocarditis, chemoattraction of monocytes and macrophages, T cell activation antibody response). Further experimental verification finds that 22 of 31 compounds have various degrees of anti‐influenza virus activities. Moreover, 12 of 22 compounds have better biological activities (IC50=0.1609–54.95 μM) than oseltamivir (IC50=114.3 μM). 3 of 12 compounds have better antioxidant activities (IC50=2.087–3.796 μM) than vitamin C (IC50=5.004 μM). Therefore, ellagic acid, hyperoside, and fraxetin are promising multi‐target lead compounds for influenza virus therapy. Meanwhile, the present study offers compelling evidence for the development of novel antiviral medications.