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The absolute structures of a pair of infinite Na(HO)-connected ε-Keggin-Al species (Na-ε-K-Al) that were inversion structures and mirror images of each other were determined. Single crystals obtained by adding ASO (A = Li, Na, K, Rb, or Cs) solution to NaOH-hydrolyzed AlCl solution were subjected to X-ray structure analyses. The statistical results for 36 single crystals showed that all the crystals had almost the same unit cell parameter, belonged to the same 4̅3 space group, and possessed the same structural formula Na(HO)AlOAl(OH)(HO)·10HO. However, the crystals had two inverse absolute structures (denoted A and B), which had a crystallization ratio of 1:1. From Li to Cs, with increasing volume of the cation coexisting in the mother solution, the degree of disorder of the four HO molecules in the Na(HO) hydrated ion continuously decreased; they became ordered when the cation was Cs. Absolute structures A and B are the first two infinite aluminum polycations connected by statistically occupied [(Na)(HO)] hydrated ions. The three-dimensional structure of the infinite Na-ε-K-Al species can be regarded as the assembly of finite ε-K-Al species linked by [(Na)(HO)] in a 1:1 ratio. In this assembly, each [(Na)(HO)] is connected to four ε-K-Al and each ε-K-Al is also connected to four [(Na)(HO)] in tetrahedral orientations to form a continuous rigid framework structure, which has an inverse spatial orientation between absolute structure A and B. This discovery clarifies that the ε-K-Al (or ε-K-GaAl) species in NaMOAl(OH)(HO)·HO (M = Al, Ga; X = S, Se; = 10-20) exists as discrete groups and deepens understanding of the formation and evolution process of polyaluminum species in forcibly hydrolyzed aluminum salt solution. The reason why Na statistically occupies the four sites was examined, and a formation and evolution mechanism of the infinite Na-ε-K-Al species was proposed.