Abstract: An improved hose clamp of the kind comprising a tightening band which is bent to annular shape and which has end portions one of which is provided with transverse grooves. In the latter engage the threads of a screw worm which is rotatably journalled in a sleeve enclosing the screw worm but axially non-slidable therein. Said sleeve is formed with a space allowing the threaded band end portion to be moved out of the sleeve upon rotation therein of the screw worm. The opposite band end portion which is attached to the sleeve is elastic in its lengthwise direction and encloses a pressure strap which is bent to annular shape with its end portions overlapping. This pressure strap is arranged to form a guide means to the screw worm sleeve and to the tightening band between said sleeve and said band and an enclosed article. The tightening band describes an arcuate line in the plane of the external face of the pressure strap along the major portion of the circumference of the latter.