Disclosed is a supporting structure for concurrently supporting a plurality of containers for substances for medical, pharmaceutical or cosmetic applications, comprising a flat, rectangular-shaped carrier having a plurality of apertures or receptacles and at least one supporting member, which is releasably coupled to the carrier, wherein the respective supporting member is configured to support a plurality of containers to said carrier by a positive-fit.According to the invention the positive-fit is formed by coupling the respective supporting member with the carrier such that the containers supported on the container extend into the apertures or receptacles of the carrier.By means of the supporting members tolerances, in particular with respect to the outer radius or the outer contour of the containers and to their length, can be compensated for in a simple manner. Because the containers extend through the apertures of the carrier, the bottoms of the containers are freely accessible from the underside of the carrier even if these are supported on the carrier. This offers significant advantages when processing or further processing the containers. Since the supporting means are clipped into the carrier, these are retained to the carrier in axial direction and thus are supported very reliably on the carrier.