The necessity and importance of investigations of polarized nuclei is motiv
ated and the possibilities of laser spectroscopy for obtaining nuclear pola
rization are discussed. Different experimental methods for application of l
aser radiation to polarization of fission fragments of heavy elements are p
roposed. These fragments cover ranges of nuclides very interesting from the
point of view of the nuclear structure. Of especially interest are fission
fragments near the shell closures N=50 and N=82 and at the boundary of the
deformation regions. It is shown that the laser radiation could be effecti
vely used for fission fragment polarization and experiments with polarized
fragments could play a role as a new source of information about nuclides f
ar off beta -stability.