  We construct a Markov family of solutions for the 3D Navier-Stokes equation
perturbed by a non degenerate noise. We improve the result of [DPD-NS3D] in two
directions. We see that in fact not only a transition semigroup but a Markov
family of solutions can be constructed. Moreover, we consider a state dependant
noise. Another feature of this work is that we greatly simplify the proofs of
[DPD-NS3D].
