Mathematical modeling of tumor growth as modeling of other biological tissue is important Since these models enable us to predict and evalue the parameters that could not be measured easily. These parameters also play an important role in the process of tumor growth. Tumor induced angiogenesis is the bridge between benign and malignant tumor growth stage. In this process, growth and migration of endothelial cells build capillaries to supply the tomur with blood for it’s further growth. Regarding the importance of capillary formation and blood flow in angiogenesis, simulation of this phenomenon plays important role in tumor growth and cancer development studies. In this project a discrete model is used to simulate initial stage of avascular tumor growth and a discrete model which is capable of tracking each individual cell and define their path is invoked to model the angiogenesis. Then this structure is coupled with an adaptive model of sprouts spacing along the parent blood vessel at the beginning of the angiogenesis process. Then the tumor growth and angiogenesis are coupled by the change of micro environment including oxygen, tumor growth factor and fibronectin concentration. Finally the blood flow through the capillary structure (hemaetocrit and viscosity) is presented. Considering the parent vessel in different situations, tumor growth tread and also angiogenesis with monitoring the behavior of endothelial cells to tumor angiogenesis factor gradient and oxygen has been investigated. Parts of the tumor that are far from the parent vessels suffers cell deth and couldn’t continue cell cycle. The parts close to the main vessel, with the proliferation of the cells, begin to secrete an angiogenic agent and angiogenesis starts. Keywords: Computational modeling of the tumor, Angiogenesis, Hematocrit,Vascular tumor growth