The potential energy curves for seven Λ-S electronic states (X²Σ⁺, B²Σ⁺, C²Δ, F²Σ⁺, A²Π, D²Π, and E²Π) of strontium chloride (SrCl) molecule are investigated using the multireference configuration interaction method (MRCI). Davidson correction (+Q), core-valence correction, and spin-orbit coupling effect are considered in the calculation. Based on the obtained potential energy curves of Λ-S states, the vibration energy levels, wave functions, and spectroscopic parameters are determined by solving the Schrödinger equation using the discrete position presentation method. The calculated values agree substantially with experimental and theoretical values. Additionally, the transition dipole moments, Franck-Condon factors, and radiative lifetime of the SrCl molecule are explored. Due to the significant diagonal distribution of the Franck-Condon factors (f₀₀=0.96959) and short radiative lifetimes (τ=31.05 ns) of the A²Π (ν′=0) →X²Σ⁺(ν″=0) transition, the SrCl molecules are suitable for rapid laser cooling. Therefore, this study presents a three-laser scheme for laser cooling of SrCl molecules. The calculated pump and repump wavelengths of the laser-driven cycling are668.2 nm (λ₀₀), 682.0 nm (λ₀₁), and 681.5 nm (λ₁₂).