This disclosure relates to an improved arterial-venous graft. In one embodiment, an arterial-venous stent-graft can comprise a tube comprising a first section and a second section, said first section comprising at least fifty percent of said tube. Additionally, the arterial-venous stent-graft can comprise a stent surrounding all of said first section. Additionally, this disclosure relates to a method for placing an arterial-venous stent-graft in a body. Specifically, the method comprises placing an arterial-venous stent-graft in a subcutaneous tunnel, placing a portion of said arterial-venous stent-graft in a vein, wherein said first portion comprises a stent that covers said portion and covers at least fifty percent of said stent-graft, and connecting a second portion of said arterial-venous stent-graft to an artery, further wherein second portion of said arterial-venous stent-graft comprises no stent.