Nuclei is the laboratory to study hadron structure and strong interaction. Some of the major founds of deep inelastic experiments changed our understanding of the internal structure of hadron profoundly . The proton - proton or proton - nucleus collision Drell-Yan process has provided us with a direct detection of nuclear parton distribution of quark, therefore, use polarized proton - nucleus collision Drell-Yan process we can better study nuclear polarized quark distribution. To clarify the nuclear effects of deuteron will contribute to a better understanding of parton distributions in bound nucleon.In this paper, polarized parton distribution functions in proton given by AAC, and the nuclear effects functions of deuteron given by HKN07 are used to investigate the nuclear effects of polarized structure function of deuteron and polarized Drell-Yan process of proton-deuteron collisions. For the polarized structure function of deuteron, the calculated results show that in the region of x<0.2209, there exists nuclear shadowing effect. In the region of 0.2209≤x≤0.3598 , there exists anti-shadowing effect. In the region of 0.4583≤x≤0.7248 , as x increases the impact of the nuclear effects increases. In a word, there are not very different for deuteron polarized structure function by taking into account the nuclear effects of deuteron and neglecting it. By calculate the polarized proton-deuteron andproton- proton cross-section ratios at the center-of-mass energy (?)=50GeV and(?) =200GeV ,we find that in the region of x_F≥-0.9, the influence of deuteron nuclear effects to Drell-Yan process is very small. |