Accurate calculations of the dipole polarizability of F−, Ne, and F are performed by using the complete active space (CAS) SCF and externally contracted multireference configuration interaction (MC-CCI) methods within the finite-field perturbation scheme. The CAS SCF method gives the following polarizability results: 14.4, 2.63, and 3.68 a.u. for F−, Ne, and F(2P), respectively. The corresponding results obtained from the MC-CCI calculations based on the CAS SCF eigenvectors are: 15.1, 2.64, and 3.52 a.u. The anisotropy of the dipole polarizability calculated for the fluorine atom equals 0.38 a.u. according to the CAS SCF method and 0.55 a.u. according to the MC-CCI scheme.