It is expected that hydrogen plays an important roles in energy source including electric power in near future. Liquid hydrogen (LH_2) has high potential for cooling down superconducting coil wound with high temperature superconductors (HTS), such as BSCCO. In this paper, we study stabilities of the coils wound with BSCCO and MgB_2 tape, which are immersed in the LH_2, and compare stability results with those cooled by liquid helium (LHe). We treat a minimum propagation zone (MPZ) theory to evaluate the coil stability considering boiling heat flux of each refrigerants, and characteristics of HTS materials as a function of temperature. It is found that the coil cooled by the LH_2 has higher stability margin than that cooled by the LHe. We compare the stability margins of both coils wound with BSCCO tape and MgB_2 tape in LH_2. As a result, it is found that the stability of Bi-2223 coil is highest.%水素を環境負荷の小さなエネルギー源として 期待されている。水素の貯蔵方法として，断熱容 器内に液体水素(LH_2）として貯蔵する方法は，質量， 体積密度の点から有望視されている。
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