During hemodialysis, arteriovenous (AV) grafts tends to result in intimal hyperplasia (IH) at the venous anastomosis which leads to graft failure. It is well documented that hemodynamic factors have been implicated in IH, as well as pathogenesis of graft stenosis. In this paper, we investigate the flow rate and angle of injection of a venous needle on damaging the hemodialysis graft. Such damage is mainly caused by hemodynamics rather than the actual physical puncture of the needle. By computational fluid dynamic analysis of flow through the AV grafts, we demonstrate that slower flow rate of the needle preserve a larger region of low wall shear stress (WSS). High needle flow angle and fast flow rate tends to induce high shearing of blood against the graft wall, and therefore resulting in a concentrated region of high WSS. Despite that, the increased flow rate causes more significant change to wall shear stress gradient than the flow angle. Obviously, it is important to optimize the injection rate since a high angle can reduce the size of the injection puncture and have smaller injury for the vessel walls; but a slower injection rate may delay hemodialysis. Therefore, the ideal angle and flow rate of needle is sought in this study.