The potential energy curves (PEC) for the ground state (X2∏) and three excited states (4∑-, 2∑-, 2Δ) of SF molecule are computed using the multireference configuration interaction method and the basis sets aug-cc-pV6Z where the Davidson correction is considered as an approximation to full CI. The separation parameters (Re, ωe, ωeχe, D0, De, Be and αe) are evaluated using the PEC of SF. The spectroscopic parameters are compared with those reported in the literature, and excellent agreement is found between them. With the PEC of SF, some vibrational states of SF are predicted when J=0 by numerically solving the radical Schrödinger equation of nuclear motion. For each vibrational state, the vibrational levels and inertial rotation constants are reported.