Alumina supported Pt nano clusters under hydrogen environment play a crucial role for many heterogeneous catalysis applications. We conducted grand canonical genetic algorithm (GCGA) simulations for supported Pt 8 clusters in hydrogen gas environment to study the intra-cluster, cluster-support, and cluster-adsorbate interactions. Two alumina surfaces, α-Al 2 O 3 (0001) and γ-Al 2 O 3 (100), and two conditions T =600 • C, p H 2 =0.1 bar and T =25 • C, p H 2 =1.0 bar were considered corresponding to low and high hydrogen chemical potential µ H , respectively. The low free energy ensemble of Pt 8 is decorated by a medium (2 ∼ 12 H), resp. high (20 ∼ 30 H), number of hydrogen atoms under equilibrium at low µ H , resp. high µ H , and undergoes different morphology transformations on the two surfaces. On α-Al 2 O 3 (0001), Pt 8 is mostly 3D but very fluxional in structure at low µ H and converts to open one-layer 2D structures with minimal fluxionality at high µ H , whereas on γ-Al 2 O 3 (100), the exact opposite occurs, and Pt 8 clusters present one-layer 2D shapes at low µ H and switch into compact 3D shapes under high µ H , during which the Pt 8 cluster preserves moderate fluxionality. Further analysis reveals similar Pt-Pt bond length increase when switching from low µ H to high µ H on both surfaces, though morphology transformations are different. Electronic structure analysis shows the existence of bonding interactions between Pt and Lewis acidic Al 3+ sites along with the Pt-O interaction, which implies the necessity to include Al neighbors to discuss the electronic structure of small Pt clusters.