An abrasive mesh for a powered grinding wheel is made by weaving plural twisted warp threads with plural single weft threads. The twisted warp threads construct an even machining surface for grinding the workpiece evenly, avoiding the occurrence of surface scratch. Since the twisted warp threads are connected to the single weft threads by weaving, the structure strength of the abrasive mesh is relatively high, thus extending its service life. Further, the abrasive mesh can be applied to grind the workpiece requiring high grinding fineness.