  We consider the control problem of the stochastic Navier-Stokes equations in
multidimensional domains introduced in \cite{ocpc} restricted to noise terms
defined by Q-Wiener processes. Using a stochastic maximum principle, we derive
a necessary optimality condition to design the optimal control based on an
adjoint equation, which is given by a backward SPDE. Moreover, we show that the
optimal control satisfies a sufficient optimality condition. As a consequence,
we can solve uniquely control problems constrained by the stochastic
Navier-Stokes equations especially for two-dimensional as well as for
three-dimensional domains.
