Universal endovascular grafts are provided for evaluation and repair of damaged or aneurismal blood vessels. More particularly, the present invention relates to universal fenestrated and universal branched endografts for repair of blood vessels with branches, methods for implanting the endografts in the vessel and for making connection with one or more branches. The universal fenestrated endografts have a body with a first end, a second end, a first wall, a second wall, and an interior passage or lumen. The body further includes openings in communication with the passage at the first and second ends and one or more lateral fenestrations in communication with the lumen. The body further has a necked portion between the ends and a cannulation member. The universal branched endografts have a tubular body with a main lumen and four branch lumens. A large branch extends from the body. The four lumens are positioned about a circumference of the tubular body.