BH+cation is one of the candidates for laser cooling. The potential energy curves(PECs) for nine electronic states(X~2Σ~+, A~2Π, B~2Σ~+, a~4Π, b~4Σ+, 3~2Σ~+, 2~2Π, 3~2Π, 4~2Σ~+) relating to the B~+(~1 S_g)+H(~2 S_g), B~+(~3 P_u)+H(~2 S_g),B(~2 P_u)+H~+(~1 S_g), and B~+(~1 P_u)+H(~2 S_g) dissociation channels of BH+cation are obtained using highly accurate multireference configuration interaction(MRCI) plus Davidson correction. All-electron basis sets AV5 Z-DK for H and ACV5 ZDK for B are used in PEC calcula...