A wrappable sterile radiation shield drape, a wrappable sterile radiation shield drape in combination with a radiation shield, and a method of providing a sterile surface about a suspended radiation shield is provided. The drape includes a flexible wall having a sterilized outer surface. The wall has opposite side edges extending between upper and lower ends. The upper end has an everted portion providing an inverted pocket. The wall includes an upper fastener adjacent its upper end. The upper fastener is configured to releasably fix the upper end of the wall relative to the radiation shield. The wall further includes an edge fastener adjacent at least one of its side edges. The edge fastener is configured for releasable attachment adjacent the opposite side edge to releasably maintain the wall in a wrapped configuration about the radiation shield with the side edges being releasably maintained in overlapping relation with one another.