A method for delivering a stent graft includes the steps of moving lumens retaining a stent graft within a multi-lumen stent-graft-delivery catheter towards an implantation site to place the stent graft at a first position prior to reaching the implantation site. The delivery catheter has at least one interior lumen holding the stent graft. A handle assembly of the delivery catheter is activated to extend distally the at least one interior lumen towards the implantation site to thereby place the stent graft at a second position substantially within the implantation site while a lumen surrounding the at least one interior lumen of the delivery catheter remains substantially at the first position. The handle assembly is activated to proximally retract a sheath holding the stent graft to at least partially deploy the stent graft at the implantation site.