  The electric field dependent $g-$factor and the electron electric dipole
moment (eEDM)-induced Stark splittings for the lowest rotational levels of
$^{207,208}$PbF are calculated. Observed and calculated Zeeman shifts for
$^{207}$PbF are found to be in very good agreement. It is shown that the
$^{207}$PbF hyperfine sublevels provide a promising system for the eEDM search
and related experiments.
