A suspension system (3) for an inner container (2, 2′) mounted for thermal insulation in an outer container (1, 1′) comprises a single fixed bearing (30, 31, 32, 33, 34, 35, 36, 37, 38, 39) comprising fixed bearing securing elements (5, 5′, 5″, 5′″) which engage, on the one hand, the outer container and, on the other hand, the inner container and which can be stressed in tension and in compression, the fixed bearing securing elements (5, 5′, 5″, 5′″) engaging while being arranged so as to be distributed in an annular installation space (7) defined between the inner container (2, 2′) and the outer container (1, 1′) and the fixed bearing securing elements (5, 5′, 5″, 5′″) engaging the outer container (1, 1′) while being distributed in the annular installation space (7). In addition, a floating bearing (41, 42, 43, 44, 45) arranged in the outer container (1, 1′) and supporting the inner container (2, 2′) and designed with a floating bearing ring (10, 10′) can be provided, with annularly distributed floating bearing securing elements (11, 11′), which can be stressed in tension and in compression, engaging, on the one hand, the floating bearing ring (10, 10′) and, on the other hand, the inner container or the outer container. The floating bearing ring (10, 10′) can be spring-biased by means of tension springs (12) or compression springs (13).