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We study theoretically the Josephson effect in a s-wave superconductor/ time-reversal-symmetry-broken quantum spin Hall (QSH) insulator/superconductor junction by using the recursive Green function method.The time-reversal-symmetry-broken QSH effect can be realized in the magnetic doped 2D topological insulator,such as Mn-doped HgTe quantum wells and Fe-doped Bi2Se3 thin films.