  Tensor charge of the nucleon, which will be measured in Drell-Yan processes
in polarized proton-proton collisions at RHIC, are studied in quenched lattice
QCD simulation. On the 16$^3\times$ 20 lattice with $\beta=5.7$, connected
parts of the tensor charge are determined with small statistical error, while
the disconnected parts are found to be small with relatively large error bars.
Flavor-singlet tensor charge ($\delta \Sigma = \delta u + \delta d + \delta s$)
is not suppressed as opposed to the flavor singlet axial charge ($\Delta \Sigma
= \Delta u + \Delta d + \Delta s$).
