The cover has a reinforcement (1) formed on two opposed tensioning rectilinear edges of the cover, and assembled on an entire surface of a layer. The reinforcement has an inner side (3) that is undulated along a sinusoidal shape. The inner side is different from an outer side (2) of the reinforcement and does not have a rectilinear effect. The layer has a width that is reduced with respect to a width of the cover. An independent claim is also included for a method of fabricating a protection cover.Nappe de protection pour les cultures comportant au moins une couche sur laquelle est assemblé au moins un bord muni dun renforcement (1), caractérisée en ce que ledit renforcement (1) est assemblé sur ladite couche sur la totalité de sa surface, et quil est muni dun côté interne (3) ondulé, selon une forme sensiblement sinusoïdale.