The polarization of 103 211 Ω− hyperons produced in 800 GeV proton-beryllium inclusive reactions has been measured. Between 0.3<xF<0.7 and 0.5<pt<1.3 GeV/c, the Ω− polarization is found to be consistent with zero, with a mean value of -0.01±0.01 at 〈xF〉=0.5 and 〈pt〉=0.95 GeV/c. This behavior is similar to that of Λ¯0, which also does not have any quarks in common with the incident proton, but is different from Ξ¯+, which is significantly polarized in the same kinematic region.