Density functional calculations are performed to study the structures and electronic properties of Al n Co m clusters with n = 1-7 and m = 1-2. Frequency analysis is also performed after structural optimization to make sure that the calculated ground states are real minima. The corresponding total and binding energies, adiabatic electron affinities and ionization potentials are presented and discussed to aid the identification of our calculations. The BSSE correction is also considered in our calculation. Among Al n Co m , Al Co , n m − and Al Co n m + clusters (n = 1-7 and m = 1-2), Al 4 Co -, Al 6 Co -, Al 2 Co 2 , and Al 6 Co 2 are predicted to be more stable. Our results are consistent with the available experimental data.