A densely-packed hexagonal Al2O3 nanopores array was fabricated by using a relatively simple ultrahigh voltage two-step anodization method. The developed method was technologically simple and suitable for controlling the morphology and geometry of the nanopores array as a nanodevice which has specific applications in constructing biosensors. The anodization was carried out at different applied voltage rates and Al foil thicknesses. By increasing voltage, the current density showed a peak shape profile so that its maximum was directly depended on the rate of the applied voltage. The simulation curves evidenced direct dependency of the ordering of the nanopores to the anodization voltage rate. The most ordered array was achieved at an applied voltage rate of 0.600 Vs(-1) when a 1.0-mm thick Al foil was used. Spontaneous oscillation patterns (self -oscillations) were appeared at the voltage rates of 0.300, 0.400 and 0.500 Vs(-1) when a 0.25-mm thick Al foil was utilized. The cross-sectional SEM images revealed that a three-dimensional periodic modulation, along the interior surfaces of the nanopores has been developed. (C) 2017 Elsevier B.V. All rights reserved.