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We study the weak decays of B̅_(s) and B_c into D-wave heavy-light mesons, including J^P=2^- (D_(s)2,D'_(s)2,B_(s)2, B'_(s)2) and 3^- (D^*_(s)3, B^*_(s)3) states. The weak decay hadronic matrix elements are achieved based on the instantaneous Bethe-Salpeter method. The branching ratios for B̅ decays are B[B̅→ D_2eν̅_e] = 1.1^-0.3_+0.3× 10^-3, B[B̅→ D'_2eν̅_e]=4.1^-0.8_+0.9× 10^-4, and B[B̅→ D^*_3eν̅_e]=1.0^-0.2_+0.2× 10^-3, respectively. For semi-electronic decays of B̅_s to D_s2, D'_s2, anddoi:10.1140/epjc/s10052-016-4588-5 fatcat:tl3rdlcg75cvloi6twr7s6boka