Measurements of the neutron polarization in the p-d breakup reaction are reported. The polarization of breakup neutrons from 2H(p,n-->) has been measured at Ep=21.4 MeV, θlab=18∘, as a function of neutron energy with an accuracy of approximately +/-0.01. The measurement is consistent with zero from 8 to 13 MeV, but shows a small but significant positive polarization from 14 to 18 MeV. A similar measurement of the breakup neutrons from the 1H(d,n-->)2p reaction at the same center-of-mass momentum (Ed=42.8 MeV), also at θlab=18∘, shows nonzero polarization over the neutron energy region 8 to 25 MeV, reaching a maximum of about -0.05+/-0.01. In both cases, the polarization of the breakup neutrons is opposite in sign to that expected if the dominant process is simple quasifree scattering.