A suspension system for at least one door leaf, which is movable along a travel path, having at least two carriages, at which the at least one movable door leaf is stationarily mounted, wherein • rollers are freely rotatably disposed at each carriage, such that their axes of rotation extend transversely to the travel path and transversely to a vertical extension of the at least one movable door leaf, and roll on a running surface of a running rail of the suspension system, • the running rail is configured to extend along at least one portion of the travel path of the at least one movable door leaf, • a running surface of the running rail, is configured to point in a direction parallel to the vertical extension of the at least one movable door leaf, away from the latter, • at least the carriages of one of the at least one movable door leaf have respectively one clamp mounting, in which the at least one movable door leaf is stationarily received, • each carriage, respectively provided with one clamp mounting, seen in direction of the travel path of the respective movable door leaf, has a cross-section in the shape of an open U in direction of the respective movable door leaf, • the clamp mounting furthermore has a clamping jaw, which, by means of an adjusting device, is movable towards the associated movable door leaf and away from it, • the adjusting device comprises a screw, which with an end facing away from a head of the screw, is supported at the respective clamping jaw and is screwed into a female thread section of a leg of the U-shaped profile, which leg is disposed at a side of the movable door leaf at which the clamping jaw is disposed, • the respective movable door leaf is clamped between the clamping jaw and a leg of the carriage, and • the leg of the U-shaped profile has a projection, which extends from a free end of the leg towards the movable door leaf, wherein the screw is screwed into a female thread section of the projection and furthermore is screwed into a contact member, which, at a side facing the movable door leaf, has an oblique surface, which is configured slanted in the direction of the head of the screw such that the contact member is tapered towards the head of the screw, wherein the clamping jaw, at a side facing the contact member, has an oblique surface configured complementary to the oblique surface of the contact member, with which the clamping jaw comes to bear against the oblique surface of the contact member. • rollers are freely rotatably disposed at each carriage, such that their axes of rotation extend transversely to the travel path and transversely to a vertical extension of the at least one movable door leaf, and roll on a running surface of a running rail of the suspension system, • the running rail is configured to extend along at least one portion of the travel path of the at least one movable door leaf, • a running surface of the running rail, is configured to point in a direction parallel to the vertical extension of the at least one movable door leaf, away from the latter, • at least the carriages of one of the at least one movable door leaf have respectively one clamp mounting, in which the at least one movable door leaf is stationarily received, • each carriage, respectively provided with one clamp mounting, seen in direction of the travel path of the respective movable door leaf, has a cross-section in the shape of an open U in direction of the respective movable door leaf, • the clamp mounting furthermore has a clamping jaw, which, by means of an adjusting device, is movable towards the associated movable door leaf and away from it, • the adjusting device comprises a screw, which with an end facing away from a head of the screw, is supported at the respective clamping jaw and is screwed into a female thread section of a leg of the U-shaped profile, which leg is disposed at a side of the movable door leaf at which the clamping jaw is disposed, • the respective movable door leaf is clamped between the clamping jaw and a leg of the carriage, and • the leg of the U-shaped profile has a projection, which extends from a free end of the leg towards the movable door leaf, wherein the screw is screwed into a female thread section of the projection and furthermore is screwed into a contact member, which, at a side facing the movable door leaf, has an oblique surface, which is configured slanted in the direction of the head of the screw such that the contact member is tapered towards the head of the screw, wherein the clamping jaw, at a side facing the contact member, has an oblique surface configured complementary to the oblique surface of the contact member, with which the clamping jaw comes to bear against the oblique surface of the contact member.