A tape-roll supporting device consists of a shaft, a threaded tube and two side covers. The shaft is to be assembled on a machine body and the threaded tube is rotatably fitted around the outer side of the shaft for fitting and positioning thereon a tape roll of different widths. The two side covers are respectively bored with a threaded hole in the center to be threadably combined with the opposite ends of the threaded tube. The two side covers can be rotatably adjusted in position to closely clamp the tape roll fitted on the threaded tube between them, enabling a tape roll of different widths to be steadily fitted and positioned thereon.