Self-supporting structure (E) to support slats (3) for building facades, comprising at least two pillars (1), transverse beams (2) connecting between the pillars (1), some blades (3) attached to the beams (2), wherein the slats (3) have a profile height decreasing in the direction away from the beam (2), the slats having a relationship between depth and height of between 1.1 and 4.4, being the profile of the blade (3) concave upward so that it can hold a substrate (S) for the growth of plants, so that the slats are also some plant boxes.