Abstract: We calculated systematically the hadronic matrix elements of D⁺→K⁰π⁺ decays with light cone QCD sum rules firstly, which included the contributions of factorization in the leading order, the hard gluon exchange in the next leading order, and the soft-gluon exchange in the power order. We can find that the contributions of soft-gluon exchange can not be neglected. Finally, we calculated the branching ratio of the decays, and the calculation results are in accordance with the experimental data. 

Key words: D meson nonleptonic decay, non-factorization method, hadronic matrix element, branching ratio