On the basis of precisely treating various physical effects—including core-valence electron correlation, scalar relativistic, spin-orbit coupling, and extrapolation to the complete basis set limit, this study constructs the potential energy curves of 18 Λ-S states and the corresponding 35 Ω states of the SH⁺ ion by means of the optimized icMRCI+Q method. Within the all-electron icMRCI/cc-pCV5Z+SOC theoretical framework, the transition dipole moment curves of 12 pairs of transitions between 7 Ω statesincluding \textX^3\textΣ_0+^- , \textX^3\textΣ_1^- , (1)2^{1st well}(υ' = 0–8), (2)0⁺(υ' = 0–5), (2)2^{1st well}(υ' = 0–2), (2)1^{1st well}(υ' = 0–2), and (3)0⁺(υ' = 0–2) are calculated. Based on the aforementioned potential energy curves and transition dipole moment curves, the spectral data of each state and the transition data between Ω states are determined by solving the Schrödinger equation for nuclear motion and combining with the corresponding formulas, and the obtained results are in excellent agreement with the experimental values. In addition, the spectral characteristics of the 12 pairs of radiative transitions are clarified, the variation laws of the radiative lifetimes(τ_υ'J') and radiation widths(Γ_r) of the excited Ω states are revealed, and the influence of the rotational quantum number(J') on the radiative lifetimes(τ_υ'J') of the (2)2^{1st well}(υ' = 0–2, +), (2)1^{1st well}(υ' = 0–2, +), and (3)0⁺(υ' = 0–2, +) states is discussed. The datasets presented in this paper, including the potential energy curves of 18 Λ-S and 35 Ω states, 12 pairs of transition dipole moments between the 7 Ω states\textX^3\textΣ_0+^- , \textX^3\textΣ_1^- , (1)2^{1st well}(υ' = 0–8), (2)0⁺(υ' = 0–5), (2)2^{1st well}(υ' = 0–2), (2)1^{1st well}(υ' = 0–2), and (3)0⁺(υ' = 0–2), and variation of the radiative lifetimes(τ_υ'J') with J' for the (2)2 ^{1st well}(υ' = 0–2, +), (2)1^{1st well}(υ' = 0–2, +), and (3)0⁺(υ' = 0–2, +) states of SH⁺ ion, are openly available at https://www.doi.org/10.57760/sciencedb.j00213.00233.