There is described an arteriovenous fistula stent, having a tubular body comprising a series of sinusoidal shaped struts along the length of the tubular body. A plurality of curvilinear connectors extend between and are attached to adjacent struts wherein a first end of a connector is attached to a distal face of a proximal strut apex and a second end of a connector is attached to a proximal face of a distal strut apex. A pair of unconnected strut apexes are between pairs of connected apexes. When the tubular body is in a stowed configuration a proximal aperture and a distal aperture are circular and when the tubular body is in a deployed configuration the distal aperture is oblong or ovoid. There is also described a method for inserting a stent for use in creation of an arteriovenous fistula by identifying a candidate artery and a candidate vein and dissecting the candidate vein. Next, inserting a stent into the vein and creating a breach in the candidate artery at a desired angle and location. Next, introducing the stent and vein into the candidate artery and forming the stent into a curvature angle selected to minimize turbulent blood flow in an anastomosis formed by the vein and the artery. Optionally, there is a step of fastening a distal portion of the start to the artery.