Angiogenesis, as a crucial phenomenon in the development of blood vessel network, is the pathological mechanism which new blood vessels form from pre-existing vessels. Angiogenesis is also a key pathogenic regulator in many important clinical processes, such as tumor progression and eye diseases. But it does not always act as a health giving phenomenon. In some pathogen circumstances like Embryogenesis, wound healing, arthritis, tumor growth, as well as some diabetes-related retina diseases angiogenesis will appear as disease. Regeneration in the retina is the subject of our research. This disease, which occurs in people with diabetes, can lead to an unsteady retinal vasculature network which, if not treated, causes bleeding and disrupts the person's vision, and in the worst case it causes complete blindness. One of the ways to prevent the progression of the disease is laser treatment. In this method, the ophthalmologist will laser a large area of retinas and prevent the progression of the disease. The problem with this method is that the points in the laser lose their sight, hence the patient loses most of his vision through laser therapy. There are many attempts in simulation and study of tumor-induced and wound healing angiogenesis, but angiogenesis in the retina has not received enough attention. In this work, we have done a two dimensional simulation of the retinal angiogenesis using system of partial differential equations. The purpose of this work, first is to simulate the phenomenon of diabetic retinopathy, then to investigate the effect of laser therapy on development of the unwanted capillary network, caused by diabetic retinopathy. After that we have investigated the effect of different shapes of laser, like size of laser spots, number and the height of laser spots. We concluded that using laser has a minimum of 70 percent healing and by optimizing the laser’s shape and number of spots we could reach to more than 80 percent of healing. By increasing the size of laser spots, the area that laser burns, increases as well as the area it heals, by increasing more and more, the destructive effect of laser will overtake its healing effect. With the same area, if we use multi laser spots instead of one spots it has a positive effect because with the same destruction size, multi spot lasers will avoid the migration of endothelial cells more efficiently. We also concluded that the area behind the laser spots does not have a positive effect and it just burns retina’s surface without doing any healing, so we deduced if we use laser spots which has smaller height, with the same healing, less damage is done. We are using continuum mathematic equations which are consist of PDEs. These equations describe the capillary tip and blood vessel response to the growth factor. The outcome of this work is the recognition of the effects of laser spots in preventing the unwanted capillary network to develop in the retina and will enable the use of simulation to optimize the laser therapy in treatment of diabetic retinopathy. Key words: Angiogenesis, Laser, Capillary Tips, Simulation, Mathematical Model, Retina, Diabetic Retinopathy