  We theoretically study the contribution of superconducting fluctuation to
extrinsic spin Hall effects in two- and three-dimensional electron gas and
intrinsic spin Hall effects in two-dimensional electron gas with Rashba-type
spin-orbit interaction. The Aslamazov-Larkin, Density-of-States, Maki-Thompson
terms have logarithmic divergence $\ln\epsilon$ in the limit $\epsilon=(T-
T_{\mathrm{c}})/T_{\mathrm{c}} \rightarrow +0$ in two-dimensional systems for
both extrinsic and intrinsic spin Hall effects except the Maki-Thompson terms
in extrinsic effect, which are proportional to
$(\epsilon-\gamma_\varphi)^{-1}\ln\epsilon$ with a cutoff $\gamma_\varphi$ in
two-dimensional systems. We found that the fluctuation effects on the extrinsic
spin Hall effect have an opposite sign to that in the normal state, while those
on the intrinsic spin Hall effect have the same sign.
