A system for storing and transporting perishable products that includes rigid containers formed by bases and side walls that include a plurality of orifices and corner zones between same, the side walls being arranged with an angle of inclination in relation to the bases that enables the containers to be stacked when empty, a container fitting into the container below, wherein: - the corner zones of the containers are formed by upper frames that are recessed in relation to the side walls and that have an external outline that is aligned with said walls, and by curved walls that are arranged with an angle of inclination in relation to the bases that enable the containers to be stacked when empty by fitting one container into the container below, - the system also has supporting squares for the corner zones of the containers that are designed to provide bearing zones for stacking a container on another container when the containers contain perishable products, and spreader/anchor parts that are designed to rigidly connect together four contiguous corner zones of four containers arranged in a single row, in which the height of said spreader/anchor parts is substantially equal to the height of the containers and said spreader/anchor parts include a head with a base, the lower portions of which are attached to two flat X-shaped plates and four lugs arranged between said flat plates, the sides of the base having curved zones in the central portion to facilitate stacking of the containers. - the upper frames, the supporting squares and the spreader/anchor parts have cooperating means ensuring that the supporting squares are positioned on top of the upper frames and the spreader/anchor parts are positioned on the supporting squares of four contiguous corner zones such as to prevent movements in assemblies of containers stacked in multiple rows and columns. - the corner zones of the containers are formed by upper frames that are recessed in relation to the side walls and that have an external outline that is aligned with said walls, and by curved walls that are arranged with an angle of inclination in relation to the bases that enable the containers to be stacked when empty by fitting one container into the container below, - the system also has supporting squares for the corner zones of the containers that are designed to provide bearing zones for stacking a container on another container when the containers contain perishable products, and spreader/anchor parts that are designed to rigidly connect together four contiguous corner zones of four containers arranged in a single row, in which the height of said spreader/anchor parts is substantially equal to the height of the containers and said spreader/anchor parts include a head with a base, the lower portions of which are attached to two flat X-shaped plates and four lugs arranged between said flat plates, the sides of the base having curved zones in the central portion to facilitate stacking of the containers. - the upper frames, the supporting squares and the spreader/anchor parts have cooperating means ensuring that the supporting squares are positioned on top of the upper frames and the spreader/anchor parts are positioned on the supporting squares of four contiguous corner zones such as to prevent movements in assemblies of containers stacked in multiple rows and columns.