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In this paper, the relationships between the optical spectra and local lattice structure for Mn(5+) in a Sr(10)(VO(4))(6)F(2) crystal are established by the crystal- and ligand-field theory. The effect of spin-orbital coupling between the central 3d(2) ions and ligand ions has been considered in the full energy matrix. Using the matrix and superposition model formula, we have calculated the optical spectra and local lattice structure parameters of Mn(5+) in Sr(10)(VO(4))(6)F(2) with a C(3v) system. The calculated results are in good agreement with the observed values. In addition, the trigonal compressed distortions of the (MnO(4))(3-) centers in Sr(10)(VO(4))(6)F(2) crystals are also obtained from the calculations.