Abstract: The potential energy curves for four Λ-S and eight Ω states of the AlD molecule are calculated by using the valence internally contracted multireference configuration interaction approach with the Davidson modification (icMRCI+Q). The core-valence correlation and relativistic corrections are included. The extrapolation of potential energies to the complete basis set limit is made. Transition dipole moments (TDMs) between the six bound Ω states are also calculated by the icMRCI approach. The calculated spectroscopic constants are in good agreement with the available experimental data and theoretical values. Based on the obtained potential energy curves and transition dipole moments, highly diagonal Franck-Condon factors and vibrational branching ratios are determined for the A¹Π₁(υ′=0, 1)→X¹Σ₀₊⁺(υ′′) transition, short spontaneous radiative lifetime and narrow radiative width for the excited state A¹Π₁ (υ′=0, 1) are also predicted. On this account, the optical scheme of the laser cooling for AlD molecule is constructed with A¹Π₁(υ′) \leftrightarrow X¹Σ₀₊⁺(υ′′) as the close-loop transition. The proposed laser drives X¹Σ₀₊⁺(υ′′)→A¹Π₁(υ′) transition by using three wavelengths (main laser beam λ₀₀=420.96 nm; two repumping laser beams λ₁₀= 443.00 nm and λ₂₁= 448.94 nm). The Doppler temperature (T_Doppler = 44.94 μK) and recoiltemperature(T_Recoil = 3.73 μK) for the A¹Π₁ (υ′=0) \leftrightarrow X¹Σ₀₊⁺ (υ′′=0) transition are also calculated. These results can provide theoretical support for the experimental study of laser-cooled AlD molecules.