The energy levels and vibrational spectra of MgF2:V2+ crystal are calculated by using discreate variational Xαmethod. The vibronic frequencies, Franck-Condon offset, Huang-Rhys parameter, and activation energy are obtained. The vibronic frequencies of ground state 4B1gand the first excited state 4B2gare 454 cm-1 and 460 cm-1, respectively, which are near the experimental value 399 cm-1. And the vibronic potentials in 0K, 2K, 77K and 300K are presented.