  We discuss the transverse momentum Q_T distribution of Drell-Yan pair,
produced in collisions of transversely polarized protons. We calculate the
transversely polarized Drell-Yan cross section up to order \alpha_s in the
dimensional regularization scheme, which gives QCD prediction at large Q_T. For
small Q_T region, we include all-orders resummation of large logarithms due to
emission of soft gluons up to next-to-leading logarithmic accuracy. At
intermediate Q_T region, the resummation formula is matched with the
fixed-order \alpha_s perturbative results in a systematic way, so that we
derive the cross section with uniform accuracy over the entire range of Q_T.
