The geometries, stabilities, and electronic properties of Zr n Al ±m (n = 1 -7 and m = 0, 1) clusters were investigated at the UB3LYP/LANL2DZ level. The variations of structural and electronic properties with the changes of n and m were probed. Several possible multiplicities of each cluster were tested. The multiplicity of the most stable neutral clusters is 4 instead of 2. For all the three differently charged of Zr n Al clusters, the lowest-energy geometry is in favor of three-dimensional structure when n ≥ 3. The Zr 3 Al + , Zr 4 Al -, Zr 5 Al + , Zr 6 Al -and Zr 7 Al clusters are more stable than their corresponding differently charged species of the same size. Moreover, the odd-even oscillations are found in the fragmentation energy and the second-order difference of total energies for Zr n Al -clusters. The Zr 2 Al + cluster is more inert to chemical reaction than others judged by the HOMO-LUMO gaps. NBO analysis was done to analysis the electronic properties.