In this article, we calculate the contributions of the vacuum condensates up to dimension-6 including the ({mathcal {O}}(alpha _s)) corrections to the quark condensates in the operator product expansion, then we study the masses and decay constants of the pseudoscalar, scalar, vector, and axial-vector heavy-light mesons with the QCD sum rules in a systematic way. The masses of the observed mesons ((D,D^*)), ((D_s,D_s^*)), ((D_0^*(2400),D_1(2430))), ((D_{s0}^*(2317),D_{s1}(2460)),)((B,B^*)), ((B_s,B_s^*)) can be well reproduced, while the predictions for the masses of ((B^*_{0}, B_{1})) and ((B^*_{s0}, B_{s1})) can be confronted with the experimental data in the future. We obtain the decay constants of the pseudoscalar, scalar, vector, and axial-vector heavy-light mesons, which have many phenomenological applications in studying the semi-leptonic and leptonic decays of the heavy-light mesons.
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