A tank system (1) for a hydrogen-powered vehicle, wherein the tank system (1) comprises at least two tank containers (2) for storing a gaseous medium, in a frame-shaped housing element (24) and a feed line (4) connectable to the tank containers (2), wherein the frame-shaped housing element (24) surrounds the at least two tank containers (2) and the feed line (4), wherein the at least two tank containers (2) run parallel to a longitudinal axis (9) of the tank system (1), wherein each of the at least two tank containers (2) is connected to the frame-shaped housing element (24) by a flexible bearing (35) and a fixed bearing (36), wherein the flexible bearing (35) comprises a bearing liner element (50), with said bearing liner element (50) comprising layers of an elastomeric material (40) and layers of a rigid material (41).