Abstract: A machine for wrapping generally cylindrical articles includes a web supply reel, an endless conveyor composed of a multiplicity of spaced-apart rollers for moving the articles along a predetermined path, a device for guiding and feeding the web on to the rollers, a device for feeding articles on to the web at a location at which it has already been guided on to the rollers, and transverse cutters for severing a predetermined portion of the web after an article has been placed thereon. An abutment is mounted along the predetermined path and disposed to tangentially engage the rollers to cause their rotation which, in turn, causes rotation of the articles thereby wrapping a predetermined portion of the web around themselves. The machine also includes an integral heat tunnel and an electronically-controlled drive for accelerating and decelerating the conveyor in timed relation with respect to the movement of the web. A method for wrapping cylindrical articles is also disclosed.