Three possible structures of the favorable growth unit Al6（OH）18 （H2O）6 of gibbsite are calculated by ab initio at STO-3G, STO-3G*, STO-6G, STO-6G*, 3-21G, 6-31G levels and DFT at RB3LYP/3-21G, B3LYP/6-31G levels. The most excellent structure of Al6（OH）18 （H2O）6 （structure [A]） is confirmed. Based on these calculation results and considering efficiency factor, ab initio at STO-3G level is selected to optimize the structure [A]. The calculation results are compared with the experimental structure parameters of correlative systems. The total energy, orbital population and atomic charge of structure [A] are calculated using Dipole & Sphere solvent model at 6-31G, B3LYP/6-31G, 6-31G*, B3LYP/6-31G*, 6-31G** and B3LYP/6-31G** levels. The bonding orientation of Al6（OH）18（H2O）6 is analyzed.
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