The potential energy curves, dipole moments, and transition dipole moments for the \rmX^1\Sigma ^ + , \rma^3\Pi , and \rmA^1\Pi electronic state of sulfur hydride anion (SH^–) are calculated by using the multi-reference configuration interaction method plus Davidson corrections (MRCI+Q) with all-electron basis set. The scalar relativistic corrections and core-valence correlations are also considered. In the CASSCF calculations, H(1s) and S(3s3p4s) shells are chosen as active space, and the rest orbitals S(1s2s2p) as closed-shell. In the MRCI+Q calculations, the S(1s2s2p) shells are used for the core-valence correlation. Spectroscopic parameters, Einstein spontaneous emission coefficient, Franck-Condon factors, and spontaneous radiative lifetimes are obtained by using Le Roy’s LEVEL8.0 program. The calculated spectroscopic parameters are in good agreement with available experimental data and theoretical values. Spin-orbit coupling (SOC) effects are evaluated with Breit-Pauli operators at the MRCI+Q level. Transition dipole moments (TDMs) for the \rmA^1\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + , \rma^3\Pi _0^ + \leftrightarrow \rmX^1\Sigma _0^ + ^ + , \rma^3\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + , \rmA^1\Pi _1 \leftrightarrow \rma^3\Pi _0^ + and \rmA^1\Pi _1 \leftrightarrow \rma^3\Pi _1 transitions are also calculated. The strength for the \rmA^1\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + is the strongest in these five transitions, the value of TDM at R_e is –1.3636 D. We find that the value of TDM for the \rma^3\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + transition at R_e is 0.5269 D. Therefore, this transition must be taken into account to build the scheme of laser-cooled SH^– anion. Highly diagonally distributed Franck-Condon factor f₀₀ for the \rma^3\Pi _1(\nu ' = 0) \leftrightarrow \rmX^1\Sigma _0^ + ^ + (\nu '' = 0) transition is 0.9990 and the value for the \rmA^1\Pi _1(\nu ' = 0) \leftrightarrow \rmX^1\Sigma _0^ + ^ + (\nu '' = 0) transition is 0.9999. Spontaneous radiative lifetimes of \tau \left( \rma^3\Pi _1 \right)= 1.472 \;\textμ\rms and \tau \left( \rmA^1\Pi _1 \right)=0.188 \;\textμ\rms are obtained, which can ensure that laser cools SH^– anion rapidly. To drive the \rma^3\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + and \rmA^1\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + transitions, just one laser wavelength is required. The wavelengths are 492.27 nm and 478.57 nm for two transitions, respectively. Notably, the influences of the intervening states \rma^3\Pi _1 and \rma^3\Pi _0^\rm + on the \rmA^1\Pi _1 \leftrightarrow X^1\Sigma _0^ + ^ + transition are small enough to implement a laser cooling project. A spin-forbidden transition and a three-electronic-level transition optical scheme of laser-cooled SH^– anion are constructed, respectively. In addition, the Doppler temperatures and recoil temperatures for the \rma^3\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + and \rmA^1\Pi _1 \leftrightarrow \rmX^1\Sigma _0^ + ^ + transitions of laser-cooled SH^– anion are also obtained, respectively.