A floating fish farming plant including a cage supported by a buoyant body which is configured for floating in a body of water. The farming plant further includes a lifting portion arranged between the buoyant body and the cage and configured for moving the cage between a position at the level of, or below, the buoyant body and a position in which at least a portion of the cage is above the buoyant body. The cage includes at least a lower section, forming a bottom portion of the cage, said lower section having a wall comprising an elastic material and/or being elastically connected to the middle section; whereby transfer of dynamic forces between the lower section and the adjoining section is reduced. An assembly comprises a plurality of fish farming plants.