We calculate exact analytical expressions for O(alpha(s))3-jet and O(a
lpha(s)(2))4-jet cross sections in polarized deep inelastic lepton nuc
leon scattering. Introducing an invariant jet definition scheme, we pr
esent differential distributions of 3- and 4-jet cross sections in the
basic kinematical variables x and W-2 as well as total jet cross sect
ions and show their dependence on the chosen spin-dependent (polarized
) parton distributions. Noticeably differences in the predictions are
found for the two extreme choices, i.e. a large negative sea-quark den
sity or a large positive gluon density. Therefore, it may be possible
to discriminate between different parametrizations of polarized parton
densities, and hence between the different physical pictures of the p
roton spin underlying these parametrizations.