Effects of the large gluon polarization on xg₁^d(x) and J/psi productions at polarized ep and pp collisions

The recent SMC data of $xg_1^d(x)$ are reproduced with the large polarized gluons. To study further the polarized gluon distribution in a proton, we calculate the spin--dependent differential cross section for J/$\psi$ leptoproductions and the two--spin asymmetry for J/$\psi$ hadroproductions. Its experimental implication is discussed.