A curb sweeping apparatus for releasable engagement with a blade of a blade-carrying machine such as a motor grader, for example, the blade being arcuate in cross-section and having a top edge and a bottom cutting edge, the sweeping apparatus being comprised of a height and depth adjustable mounting assembly, a carrier frame fixedly connected to the mounting assembly, and a motor-driven rotary sweeper comprised of a sweeper brush assembly rotatably mounted to the carrier frame and a sweeper motor mounted to the carrier frame and operably coupled to the sweeper brush assembly.