The energy spectrum of heavy-light meson states is studied in the framework of the full Bethe-Salpeter equation. The heavy-flavor mass expansion method is also used to obtain the heavy-light meson energy spectrum from both the first-order correction and the heavy quark limit. The results calculated by our model for the masses of D0, D±, B0, B±, D*0, D*±, B*, D10, and Ds±...