Abstract: A covering for a damping form roller prepared by knitting fabric into a cylindrical form consists of a pile yarn, a ground yarn and an elastic annex yarn. This elastic yarn knitted to straightly extend in a direction of a course, and to be caught and bound by base knit loop.The shrinking of a covering fabric of the invention which is inserted on the roller is more larger in the direction of circumference than in the direction of axis, and this shrinking in the direction of circumference sticks the inner surface of a covering fabric fast to the outer surface of roller, the shrinking in the direction of axis is very small. Thus the covering fabric sticks so fast to a roller without inequality that it is not necessary to bind both side ends of a covering fabric on the shaft of roller in mounting it on a roller, and can be supply water to the plate cylinder in a smooth and uniform manner, aiding in producing fine and beautiful prints continuously for a long period of time.