Actinide metal oxo clusters are of vital importance in actinide chemistry, as well as in environmental and material sciences. They are ubiquitous in both aqueous and non-aqueous phases, and play key roles in nuclear materials (e.g. nuclear fuel) and nuclear waste management. Despite the importance, our structural understanding of the actinide metal oxo clusters, particularly the transuranic ones, is very limited, due to the experimental challenges such as the high radioactivity. Herein we report a systematic theoretical study on the structures and stabilities of seven actinide metal oxo-hydroxo clusters [An(IV)6O4(OH)4L12] (An: Th to Cm; L: O2CH − ) (1-An) along with their group-4 (Ti, Zr, Hf, Rf) and lanthanide (Ce) counterparts [M(IV)6O4(OH)4L12] (1-M). The work shows the Td-symmetric structures of all the 1-An/M, and suggests the positions of the -OH functional groups, which are experimentally challenging to determine. Furthermore, by removing six electrons from 1-An, we found that the oxidation could happen on the An(IV) metal ions producing [An(V)6O4(OH)4L12] 6+ (2-An; An: Pa, U, Np), or on the O 2− and OH − ligands producing [An(IV)6(O• − )4(OH•)2(OH)2L12] 6+ (3-An; An: Pu, Am, Cm). Based on the 2-An, we constructed a series of tetravalent and pentavalent actinide metal oxo clusters [An(IV)6O14] 4− (4-An) and [An(V)6O14] 2+ (5-An), which proves the feasibility of the highly important pentavalent actinyl clusters for the first time, demonstrates f-orbital's structurally directing role in the formation of linear [O≡An(V)=O] 1+ actinyl ions, and expands the concept of actinyl-actinyl interaction into pentavalent transuranic actinyl clusters.