  We establish the existence and the pointwise bound of the fundamental
solution for the stationary Stokes system with measurable coefficients in the
whole space $\mathbb{R}^d$, $d \ge 3$, under the assumption that weak solutions
of the system are locally H\"older continuous. We also discuss the existence
and the pointwise bound of the Green function for the Stokes system with
measurable coefficients on $\Omega$, where $\Omega$ is an unbounded domain such
that the divergence equation is solvable. Such a domain includes, for example,
half space and an exterior domain.
