The invention relates to a tool comprising a substrate that consists of hard metal, cermet, ceramic, steel or high speed steel, and a multiple-ply coating that is applied using the PVD method and has a total thickness of 1 (mu)m to 20 (mu)m, said multiple-ply coating comprising a connecting layer and a wear-resistant layer deposited directly onto said connecting layer, characterised in that the connecting layer has a multiple-ply design and is deposited by means of cathodic vacuum arc vapour deposition (arc PVD), plies of said connecting layer which lie one immediately over the other having different compositions, and each of the multiple plies of said connecting layer being formed from carbides, nitrides, oxides, carbonitrides, oxycarbides, carboxy nitrides of at least two different metals selected from Ti, V, Cr, Zr, Nb, Mo, Ru, Hf, Ta, W, Al, Si, Y, Li and B, and solid solutions thereof; and said wear-resistant layer having a single or multiple-ply design and being deposited by means of high-power impulse magnetron sputtering (HIPIMS), each of said one or more plies of the wear-resistant layer being formed from carbides, nitrides, oxides, carbonitrides, oxycarbides, carboxy nitrides of at least two different metals selected from Ti, V, Cr, Zr, Nb, Mo, Ru, Hf, Ta, W, Al, Si, Y, Li and B and solid solutions thereof.