A polishing system for providing a polishing finish to a concrete surface, said system, in the orientation intended for use when polishing a horizontal surface of a concrete material, such as a floor, comprising from top to bottom: - a pad lock comprising a first surface and a second surface; said pad lock, at said first surface, being configured for being connected to a moving pan of a powered polishing machine; - a pad comprising a first surface and a second surface, said first surface being configured to be contacted to said second surface of said pad lock, said pad being made of a resilient fibrous material comprising a number of voids accessible at the first surface thereof; - a fixing ring comprising a first surface and a second surface, said fixing ring, at a first surface thereof, being configured to be contacted with said second surface of said pad; - a number of polishing discs each having a first surface and a second surface; wherein each said polishing discs at the first surface thereof is being configured for being connected to said fixing ring, at a second surface thereof; and wherein each polishing discs at the second surface thereof comprises polishing means; characterized in that said pad lock comprises, at least at a part of said second surface thereof, a number of protrusions which are able to enter into engagement with said voids of said first surface of said pad for securing the integrity of said system during use thereof in a polishing operation, and wherein said first surface of said pad lock and said first surface of said fixing ring each are exhibiting a concave curvature; and wherein said second surface of said pad lock and said second surface of said fixing ring each are exhibiting a convex curvature. - a pad lock comprising a first surface and a second surface; said pad lock, at said first surface, being configured for being connected to a moving pan of a powered polishing machine; - a pad comprising a first surface and a second surface, said first surface being configured to be contacted to said second surface of said pad lock, said pad being made of a resilient fibrous material comprising a number of voids accessible at the first surface thereof; - a fixing ring comprising a first surface and a second surface, said fixing ring, at a first surface thereof, being configured to be contacted with said second surface of said pad; - a number of polishing discs each having a first surface and a second surface; wherein each said polishing discs at the first surface thereof is being configured for being connected to said fixing ring, at a second surface thereof; and wherein each polishing discs at the second surface thereof comprises polishing means; said pad lock comprises, at least at a part of said second surface thereof, a number of protrusions which are able to enter into engagement with said voids of said first surface of said pad for securing the integrity of said system during use thereof in a polishing operation, and wherein said first surface of said pad lock and said first surface of said fixing ring each are exhibiting a concave curvature; and wherein said second surface of said pad lock and said second surface of said fixing ring each are exhibiting a convex curvature.