Thrombosis is the process of platelet adhesion and aggregation or blood coagulation in the blood after the body is subjected to certain physical and chemical stimuli. Arterial thrombosis in the coronary arteries restricts blood flow to the heart muscle and can lead to heart attacks. In addition, thromboembolism may cause serious complications and even death. At present, the use of experimental and computational models to understand thrombosis has become the subject of extensive research. However, platelet activation participates in this process together with many blood and tissue factors, and the chemical interactions between the components are complex, especially the hemodynamics can significantly affect the formation and growth of thrombus. In addition, due to the high complexity of machinery and biochemistry, mathematical models rely heavily on experiments for model parameterization. Therefore, computational modeling of thrombosis and growth is very challenging. Despite these challenges, the development of computational models has made great progress. . This article reviews the current modeling of blood platelets and thromboembolism.