Coronavirus disease 2019 (COVID-19) is a pandemic viral disease caused by SARS-CoV-2 that generated serious damages for both the human population and the global economy. Therefore, it is currently considered as one of the most important global health problems of human societies and there is an urgent need for potent drugs or vaccines which can effectively combat this virus. The chymotrypsin-like protease (3CLpro) of SARS-CoV-2 plays a key role in the viral replication inside the host and thus is a promising drug target to design and develop effective antiviral drugs against SARS and other coronaviruses. This study evaluated some antiviral coumarin phytochemicals as potential inhibitors of coronaviruses 3CLpro by in silico approaches such as molecular docking, ADMET prediction, molecular dynamics simulation, and MM-PBSA binding energy calculation. Natural coumarin derivatives were docked to the 3CLpro of SARS-CoV-2 and for further investigation, docked to the 3CLpro of SARS-CoV and MERS-CoV. The docking scores of these natural compounds were compared with 3CLpro referenced inhibitors (ritonavir and lopinavir) and co-crystal inhibitor N3. Molecular docking studies suggested more than half of the coumarin phytochemicals had favorable interaction at the binding pocket of the coronaviruses 3CLpro and exhibited better binding affinities toward 3CLpro than ritonavir and lopinavir. Most antiviral phytochemicals interact strongly with one or both the catalytic dyad residues (His41 and Cys145) and the other key residues of SARS-CoV-2 main protease. Further, MD simulation and binding free energy calculations using MM-PBSA were carried out for three 3CLpro-coumarin complexes and 3CLpro-N3/lopinavir. The results confirmed that the 3CLpro-glycycoumarin, 3CLpro-oxypeucedanin hydrate, and 3CLpro-inophyllum P complexes were highly stable, experience fewer conformation fluctuations and share a similar degree of compactness. Also, the pharmacokinetics and drug-likeness studies showed good results for the selected coumarin phytochemicals.Therefore, the coumarin phytochemicals could be used as antiviral agents in the treatment of COVID-19 after further studies.