The present study investigated the blood flow at microvascular network. The role of the blood viscosity and the yield stress of blood on the flow at the microvascular network was examined to find the condition of hemostasis. When the yield stress was less than 0.005Pa, there was no stagnant region in the capillary network used in the study. However, when the yield stress increased to 0.05Pa, stagnant areas began to appear, which grew and expanded rapidly with further increase in the yield stress. From the blood viscosity profile of a patient, one can estimate the yield stress of blood, from which the risk of hemostasis can be determined.