Abstract: The hadronic matrix elements of D⁰→K^-π⁺ decays concerned in the contributions of factorization in the leading order and the hard gluon exchange in α_s corrections as well as the contributions of soft gluon exchange were calculated with light cone QCD sum rules. It is found that the contributions of soft gluon exchange are noticeable, and exceed the contributions of factorization of leading order and the hard gluon exchange of α_s corrections. The branching ratio of the decay was also calculated. The calculation result is in accordance with the experimental data.