A flexible multi-tubular cryoprobe, including a housing for receiving an inlet flow of near critical cryogenic fluid from a fluid source and for discharging an outlet flow of the cryogenic fluid. A plurality of fluid transfer tubes are securely attached to the housing. This includes a set of inlet fluid transfer tubes for receiving the inlet flow from the housing; and, a set of outlet fluid transfer tubes for discharging the outlet flow to the housing. Each of the fluid transfer tubes is formed of material that maintains flexibility in a full range of temperatures from −200° C. to ambient temperature. Each fluid transfer tube has an inside diameter in a range of between about 0.10 mm and 1.0 mm and a wall thickness in a range of between about 0.01 mm and 0.30 mm. An end cap is positioned at the ends of the plurality of fluid transfer tubes to provide fluid transfer from the inlet fluid transfer tubes to the outlet fluid transfer tubes.