One of the leading candidates for dark matter is axion or axion-like particle in a form of BoseEinstein condensate (BEC). In this paper, we present an analysis of 17 high-resolution galactic rotation curves from "The HI Nearby Galaxy Survey (THINGS)" data [F. Walter et al., Astron. J. 136, 2563] in the context of the axionic Bose-Einstein condensed dark matter model. Assuming a repulsive two-body interaction, we solve the non-relativistic Gross-Pitaevskii equation for N gravitationally trapped bosons in the Thomas-Fermi approximation. We obtain the maximum possible radius R and the mass profile M (r) of a dilute axionic Bose-Einstein condensed gas cloud. A standard least-χ 2 method is employed to find the best-fit values of the total mass M of the axion BEC and its radius R. The local mass density of BEC axion dark-matter is ρa ≃ 0.02 GeV/cm 3 , which agrees with that presented by Beck [C. Beck, Phys. Rev. Lett. 111, 231801 (2013)]. The axion mass ma we obtain depends not only on the best-fit value of R but also on the s-wave scattering length a (ma ∝ a 1/3 ). The transition temperature Ta of axion BEC on galactic scales is also estimated. Comparing the calculated Ta with the ambient temperature of galaxies and galaxy clusters implies that a ∼ 10 −3 fm. The corresponding axion mass is ma ≃ 0.58 meV. We compare our results with others.