A vehicle roof with an openable collapsible roof, having a tensioning cord which tensions the collapsible roof in the closed state and at one end is fixedly anchored to a front roof part of the collapsible roof and at the other end is held on a rear component, which is fixed to the bodywork, so as to be length-adjustable for adjusting the cord tension by means of a tensioning cord system, wherein the tensioning cord system comprises a latching base, which is fixedly anchored to the component which is fixed to the bodywork, and a latching element, the rear end of the tensioning cord being held so as to be fixedly anchored to the latching element, and a latching mechanism which is adjustable in multiple stages being configured between the latching base and the latching element in the longitudinal direction in such a manner that the latching element is adjustable relative to the latching base, and the latching element in the adjusted relative position is held so as to be latched in a form-fitting manner to the latching base, wherein the latching element is adjustable relative to the latching base only in one longitudinal direction; and the longitudinal direction is the vehicle longitudinal direction; characterized in that the latching element is adjustable relative to the latching base only in the longitudinal direction toward the rear; and wherein the latching mechanism which is adjustable in multiple stages is formed by a latching toothing on the latching element and corresponding flexible tongues on the latching base; and wherein the latching element, preferably as a plastic injection-molded part, is embodied as a cuboid base element with mutually opposite lateral faces which run in the longitudinal direction, and an upper side and a lower side, and lateral faces which run in the transverse direction, the latching toothing being configured on the lateral faces; and wherein the latching base has a cuboid main body which for receiving the latching element comprises a continuous square hole running in the longitudinal direction, the main body preferably being embodied as a plastic injection-molded part; and wherein the flexible tongues of the latching base that communicate with the latching toothing are embodied on two mutually opposite lateral walls of the square hole which run in the longitudinal direction. wherein the tensioning cord system comprises a latching base, which is fixedly anchored to the component which is fixed to the bodywork, and a latching element, the rear end of the tensioning cord being held so as to be fixedly anchored to the latching element, and a latching mechanism which is adjustable in multiple stages being configured between the latching base and the latching element in the longitudinal direction in such a manner that the latching element is adjustable relative to the latching base, and the latching element in the adjusted relative position is held so as to be latched in a form-fitting manner to the latching base, wherein the latching element is adjustable relative to the latching base only in one longitudinal direction; and the longitudinal direction is the vehicle longitudinal direction; characterized in that the latching element is adjustable relative to the latching base only in the longitudinal direction toward the rear; and wherein the latching mechanism which is adjustable in multiple stages is formed by a latching toothing on the latching element and corresponding flexible tongues on the latching base; and wherein the latching element, preferably as a plastic injection-molded part, is embodied as a cuboid base element with mutually opposite lateral faces which run in the longitudinal direction, and an upper side and a lower side, and lateral faces which run in the transverse direction, the latching toothing being configured on the lateral faces; and wherein the latching base has a cuboid main body which for receiving the latching element comprises a continuous square hole running in the longitudinal direction, the main body preferably being embodied as a plastic injection-molded part; and wherein the flexible tongues of the latching base that communicate with the latching toothing are embodied on two mutually opposite lateral walls of the square hole which run in the longitudinal direction.