  We complete the calculation of the wino-nucleon scattering cross section up
to the next-to-leading order in $\alpha_s$. We assume that the other sparticles
are decoupled and wino interacts with the Standard Model particles via the weak
interaction. As a result, the uncertainties coming from the perturbative QCD
are significantly reduced to be smaller than those from the nucleon matrix
elements. The resultant scattering cross section is found to be larger than the
leading-order one by about 70%, which is well above the neutrino background. In
the limit of large wino mass the spin-independent scattering cross section with
proton turns out $\sigma_{\text{SI}}^p =
2.3~{}^{+0.2}_{-0.3}~{}^{+0.5}_{-0.4}\times 10^{-47}~ \text{cm}^2$ (errors come
from perturbative calculation and input parameters, respectively). The
computation for a generic SU(2)$_L$ multiplet dark matter is also presented.
