Elastic pd scattering is studied within the Glauber theory based on the single-and double pN scattering mechanisms. The full spin dependence of the elementary pN scattering amplitudes is taken into account and both the S-and D-wave components of the deuteron are considered. The treatment of the spin dependence is done in a (properly modified) formalism developed recently by Platonova and Kukulin for the pd → pd scattering process. Predictions for differential cross sections and the spin observables A d y , A p y , Axx, Ayy are presented for antiproton beam energies between 50 and 300 MeV, using amplitudes generated from the N N interaction model developed by the Jülich group. Total polarized cross sections are calculated utilizing the optical theorem. The efficiency of the polarization buildup for antiprotons in a storage ring is investigated.