A holding device for holding at least one cooling tube of a turbomachine casing cooling system, the holding device extending along an axis defining an axial direction around which the casing extends, and the holding device including a fixing frame adapted to be secured to the casing by being disposed in a radially outer manner with respect to the casing, a holding member configured to hold the cooling tube, and a connection assembly which connects the holding member and the fixing frame, wherein the connection assembly extends on either side of the fixing frame, defining with respect to the fixing frame an outer portion of the connection assembly radially external to the fixing frame and an inner portion of the connection assembly radially internal to the fixing frame, on the casing side, the connection assembly comprising a connection part extending through an opening of the fixing frame from the outer portion to the inner portion, the inner portion radially internal to the fixing frame being secured to the holding member while the outer portion comprises a resilient return member urged in compression towards the fixing frame by the connection part, wherein the holding member is configured to hold two axially adjacent cooling tubes, and the inner portion of the connection assembly is configured to be disposed between two axially adjacent cooling tubes.