A stent graft crimping device for radially constricting a stent graft includes a rigid cylinder defining a slot extending parallel to a longitudinal axis of a flexible sheet having a straight edge and a second edge and extending within the rigid cylinder to define a pocket. In a method of use, a stent graft can be positioned within the pocket and radially constricted by pulling on the second edge of the flexible sheet while the straight edge, having a raised component, remains at the slot defined by the rigid cylinder. The stent graft crimping device can be employed independently or as a system in combination with components of a stent graft delivery device.