A screw bunch includes a plurality of screws grouped together in a bunch with the enlarged head end of each screw toward a first end of the bunch and the pointed tip end of each screw toward a second end of the bunch. The screws are held together in the bunch by a band structure that extends around the bunch and that engages with the shanks of a multiplicity of the screws that are located along a perimeter of the bunch. The enlarged head ends of the screws are axially staggered. The band structure may be formed by a shrink wrap plastic band that can be separated from the bunch manually to enable individual retrieval of screws from the bunch for use. A method and machinery for production of the screw bunch is also provided.