A tissue-removing catheter (10) generally comprises a drive shaft (12) having opposite proximal and distal ends and configured for rotation about a longitudinal axis (A), and an abrasive burr (14) operatively connected to the distal end of the drive shaft (12) such that rotation of the drive shaft (12) about the longitudinal axis (A) imparts rotation to the abrasive burr (14). The abrasive burr (14) includes circumferentially spaced longitudinal struts (26) defining longitudinal slots (28) between adjacent struts (26), proximal (30) and distal hubs (32) secured to the respective proximal and distal ends of the longitudinal struts (26), and an abrasive exterior surface covering an abrasive longitudinal portion of each strut (26) extending from adjacent the proximal ends of the longitudinal struts (26) to adjacent the distal ends of the longitudinal struts (26). Proximal and distal longitudinal end portions of the longitudinal struts (26) adjacent the junctions of the longitudinal struts (26) and the respective proximal (30) and distal hubs (32) are free from the abrasive exterior surface.