Method for producing a cover for a folding top for a convertible vehicle, wherein the cover comprises an outer side and an inner side and furthermore has at least one lateral peripheral region with a peripheral edge, wherein the lateral peripheral region, in the region of the peripheral edge, is designed with a projection which is directed towards the outer side and which forms a channel that extends in the longitudinal direction, comprising the steps of: a. providing a cover which has an outer side and an inner side and has a peripheral region and a peripheral edge, b. providing a surround band which is of strip-shaped form and comprises a first and a second end region (24a, 24b), c. providing a rubber-elastic or flexible strip-shaped profile, d. bringing the surround band into abutment against the peripheral edge of the cover by means of its first end region, wherein the surround band abuts directly against the outer side so as to extend upwards in the z-direction and the second end region is oriented so as to be directed upwards, e. securing the surround band to the cover at a height H1 from the peripheral edge by means of a first seam, f. fixing the profile to the surround band, wherein the profile extends from the peripheral edge upwards in the z-direction and has a height H0 from the peripheral edge, wherein the height H0 is such that the profile covers the first seam at the height H1, g. folding the surround band in such a way that the surround band is folded once outwards around an end of the profile that is directed upwards in the z-direction, is guided downwards in the z-direction on an outer side and, further on, encloses the region of the peripheral edge and is guided upwards in the z-direction on the inner side of the cover, h. securing the surround band to the cover at a height H2 in the region of its second end region by means of a second seam, wherein the second seam is introduced in such a way that exclusively the cover and the second end region of the surround band are subjected to sewing during the sewing process and the second seam is arranged so as to be concealed by the surrounded profile. a. providing a cover which has an outer side and an inner side and has a peripheral region and a peripheral edge, b. providing a surround band which is of strip-shaped form and comprises a first and a second end region (24a, 24b), c. providing a rubber-elastic or flexible strip-shaped profile, d. bringing the surround band into abutment against the peripheral edge of the cover by means of its first end region, wherein the surround band abuts directly against the outer side so as to extend upwards in the z-direction and the second end region is oriented so as to be directed upwards, e. securing the surround band to the cover at a height H1 from the peripheral edge by means of a first seam, f. fixing the profile to the surround band, wherein the profile extends from the peripheral edge upwards in the z-direction and has a height H0 from the peripheral edge, wherein the height H0 is such that the profile covers the first seam at the height H1, g. folding the surround band in such a way that the surround band is folded once outwards around an end of the profile that is directed upwards in the z-direction, is guided downwards in the z-direction on an outer side and, further on, encloses the region of the peripheral edge and is guided upwards in the z-direction on the inner side of the cover, h. securing the surround band to the cover at a height H2 in the region of its second end region by means of a second seam, wherein the second seam is introduced in such a way that exclusively the cover and the second end region of the surround band are subjected to sewing during the sewing process and the second seam is arranged so as to be concealed by the surrounded profile.