The potential energy curves of 21 electronic states of SbF and spectroscopic properties of bound states among these have been computed using the complete active space self-consistent field (CASSCF) followed by first- and second-order configuration interaction (FOCI, SOCI) and multireference singles and doubles configuration interaction (MRSDCI) methods. The computed results are in good agreement with the observed values for six states, while the properties of four other states have been computed which are yet to be observed.