A branch vessel prosthesis (20) for placement at least partially between a main vessel and a branch vessel of a patient, has a graft (30) including a generally tubular body of a biocompatible material, and has proximal (40) and distal (60) regions, a central region (50) disposed between the proximal and distal regions, and a lumen (35) extending between the proximal and distal regions at least one stent (46) being coupled to the proximal region of the graft, and at least one stent (66) being coupled to the distal region of the graft, the proximal region of the graft including a generally straight configuration in an expanded deployed state that is substantially parallel to a longitudinal axis of a main vessel, the distal region of the graft including a generally straight configuration in the expanded deployed state that is substantially parallel to a branch vessel, and a curvature of the central region varying an angle in which the distal region of the graft is disposed relative to the proximal region.