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[en] In this note, we calculate the branching ratio of Bc→J/ψK in the framework of perturbative QCD approach based on kT factorization. This decay can occur only via tree level diagrams in the standard model. We find that the branching ratio of Bc→J/ψK is about (1-3)x10-4. The large branching ratio and the clear signals of the final states make the measurement of Bc→J/ψK easily at LHC-b experiments.