A transport device for conveying an object to be transported (18) between an input point (A) and a supply point (Z), where the object to be transported (18) can be supplied to an RT tube (4) of a cryostat (1), wherein the input point (A) is both horizontally and also vertically spaced apart from the supply point (Z), wherein a transport tube (14) is provided for pneumatically conveying the object to be transported within the transport tube (14) from a first transfer point (B) to a second transfer point (C), is characterized in that the transport tube (14) is vertically arranged, a first transport container (TB1) and a second transport container (TB2) are provided for receiving the object to be transported (18), a first transfer device is disposed between the input point (A) and the first transfer point (B), and a second transfer device is provided between the second transfer point (C) and the supply point (Z).