Abstract: In a process for global planarizing of surfaces for integrated semiconductor circuits a locally planarized insulation layer of silicon oxide with one thickness is initially applied on a structured layer to be planarized having another thickness. Photoresist structures are generated thereon as an auxiliary plane inversely to the structured plane lying below. A further well-adhering and planarizing auxiliary layer, preferably formed of spin-on glass, is applied. It must be selected as a function of a following anisotropic back-etching, in such a way that its etching rate is greater than that of the photoresist layer and nearly the same as that of the silicon oxide layer. The photoresist structures remaining after the back etching are removed. A further insulating layer formed of silicon oxide is applied up to the selected insulator thickness.