The utility model discloses a superconductive controllable reactor which comprises first and second segmental magnetic yokes, a work coil, a superconductive field coil set and a low-temperature dewar, wherein the first segmental magnetic yoke is an iron core, and the second segmental magnetic yoke comprises a field iron core set and two same arched iron cores; the field iron core set is composed of a plurality of field iron cores sandwiched in the two arced iron cores of the second segment magnetic yoke in an equal radian manner; a field iron core is sleeved to each superconductive field coil; the inductance values of the superconductive field coils are equal, and the superconductive field coils are connected in series to form a superconductive field coil set; every two adjacent superconductive field coils are connected successively according to a sequence of a like end and an unlike end; the number of the superconductive field coils and that of the field cores are the same even number, and each of the superconductive field coils and each of the field cores are placed in a non-magnetically-conductive low-temperature dewar. The superconductive controllable reactor provided by the utility model can continuously and adjustably compensate the reactive power of an electric network with a high capacity, thereby realizing reactive power balance, improving the stability of a power transmission system, increasing transmission capacity, and suppressing overvoltage of the system.