The vitamin K cycle, specifically the protein VKORC1 (Vitamin K epoxide reductase complex subunit 1), is closely linked to coagulation mechanisms in the body. Disruptions in this cycle will be associated with vascular diseases such as myocardial infarction and stroke. Warfarin is commonly used as an anticoagulant, but it still has side effects in interactions with numerous drug compounds; thus, it is necessary to search for safer candidate compounds. The ethanol extract of celery leaves (Apium graveolens L.) has potential anticoagulant activity, but the compound responsible for this activity has not been identified yet. The CADD method has been developed to predict in silico a compound's potential to interact with binding sites. This study aimed to predict interactions and obtain a stable complex of the compounds in the ethanol extract of celery leaves, which function as a VKORC1 antagonist. A total of 23 compounds were simulated using Autodock 4.2, and AMBER 18 was then used to simulate the stability of the five compounds with the best interactions. The docking simulation results of 17 test compounds (ligands) yielded five selected compounds, namely 6-isopentenyloxy-isobergapten (S1), Heratomin (S2), Apigenin (S3), Lanatin (S4), and Isoimperatorin (S5), with G values of −9.27, −9.26, −9.22, −9.13, and −8.94 kcal/mol, respectively. The MD simulation continued to produce 6-isopentenyloxy-isobergapten as the most effective ligand for stabilizing the complex for 100 ns from these five ligands. In conclusion, the 6-isopentenyloxy-isobergapten from celery leaf has the potential as a candidate anticoagulant, VKORC1.