Storage system comprising - multiple storage levels with each multiple storage spaces for storage boxes - multiple mobile transport units for transportation of storage boxes between the storage spaces and a processing point, which is a location for processing objects stored in said storage boxes - the processing point is located on one of the storage levels - in each storage level a transportation network of tracks is provided on which the mobile transport units are movable within each storage level - the transportation networks of the individual storage levels are connected by a lift (100/1100) ∘ the lift comprising a platform (110/1110) with 2, 3, 4, 5, 6 or more platform levels (112/1112) ∘ the number of levels (112/1112) of the platform is at least corresponding to the numeral of the storage level where the processing point is located, thus the platform (110/1110) of the lift (110/1100) reaches in its lowest position the lowest storage level and at least the level on which the processing point is located ∘ the platform levels (112/1112) have the same distance to one another as the storage levels have ∘ the platform (110/1110) is adapted to move vertically between the storage levels ∘ the platform (110/1110) is adapted to reach with its top platform level all storage levels that are above the platform (110/1110) in the platform's lowest position ∘ the platform is adapted to carry at least two mobile transport units per platform level simultaneously. - multiple storage levels with each multiple storage spaces for storage boxes - multiple mobile transport units for transportation of storage boxes between the storage spaces and a processing point, which is a location for processing objects stored in said storage boxes - the processing point is located on one of the storage levels - in each storage level a transportation network of tracks is provided on which the mobile transport units are movable within each storage level - the transportation networks of the individual storage levels are connected by a lift (100/1100) ∘ the lift comprising a platform (110/1110) with 2, 3, 4, 5, 6 or more platform levels (112/1112) ∘ the number of levels (112/1112) of the platform is at least corresponding to the numeral of the storage level where the processing point is located, thus the platform (110/1110) of the lift (110/1100) reaches in its lowest position the lowest storage level and at least the level on which the processing point is located ∘ the platform levels (112/1112) have the same distance to one another as the storage levels have ∘ the platform (110/1110) is adapted to move vertically between the storage levels ∘ the platform (110/1110) is adapted to reach with its top platform level all storage levels that are above the platform (110/1110) in the platform's lowest position ∘ the platform is adapted to carry at least two mobile transport units per platform level simultaneously. ∘ the lift comprising a platform (110/1110) with 2, 3, 4, 5, 6 or more platform levels (112/1112) ∘ the number of levels (112/1112) of the platform is at least corresponding to the numeral of the storage level where the processing point is located, thus the platform (110/1110) of the lift (110/1100) reaches in its lowest position the lowest storage level and at least the level on which the processing point is located ∘ the platform levels (112/1112) have the same distance to one another as the storage levels have ∘ the platform (110/1110) is adapted to move vertically between the storage levels ∘ the platform (110/1110) is adapted to reach with its top platform level all storage levels that are above the platform (110/1110) in the platform's lowest position ∘ the platform is adapted to carry at least two mobile transport units per platform level simultaneously.