Equilibrium geometries, stabilities, and electronic properties of small Ti m Zr n (n + m ≤ 5) clusters were investigated using the density functional method. The ground states were determined, and it was found that the larger clusters and those consisting of more Zr atoms are more stable. The electronic properties of the clusters were discussed based on HOMO-LUMO gaps, vertical ionization potentials (VIP), and vertical electron affinities (VEA). Furthermore, we studied the interactions between those clusters and molecular hydrogen, and found that in all the cases dissociative chemisorptions occurred. According to the chemisorption energies, the pure Zr clusters are relatively more active towards H 2 when compared with the others except Ti 3 Zr, which shows the highest activity. The magnetic moments of Ti m Zr n and Ti m Zr n H 2 were also compared, and the results show that the hydrogenated clusters have the same or decreased total magnetic moments with respect to the bare clusters except for Ti 3 Zr 2 .