In accordance with one or more embodiments of the invention, nut restrainers and methods of use are presented, particularly as they apply to high-strength bolted connections for steel structures. Nut restrainers may define a cavity that accepts insertion of a nut, and may include deformable or removable centering elements that allow the nut to move laterally to accept a bolt that is inserted non-concentrically with the nut restrainer, and may comprise a mobile central portion and a rigid outer portion; A method of positioning a nut restrainer concentric with a bolt hole accurate to within the radial tolerance of the bolt hole.