The polarization of A ~ 4 ~ S + and N inclusively produced in X-induced interactions at 330 GeV has been measured in the experiment WA89 at CERN. This is the first measurement of polarization of baryons produced by an unpolarized hyperon beam. No polarization of ~0 is observed, as was also the case in proton beam data. At transverse momenta of about 1 GeV/c A ~ and 27 + show little polarization, significantly lower than in the proton beam data, while 3 have a polarization comparable to the polarization of A ~ produced in proton beams.