  This work aims to investigate the well-posedness and the existence of ergodic
invariant measures for a class of third grade fluid equations in bounded domain
$D\subset\mathbb{R}^d,d=2,3,$ in the presence of a multiplicative noise. First,
we show the existence of a martingale solution by coupling a stochastic
compactness and monotonicity arguments. Then, we prove a stabilty result, which
gives the pathwise uniqueness of the solution and therefore the existence of
strong probabilistic solution. Secondly, we use the stability result to show
that the associated semigroup is Feller and by using "Krylov-Bogoliubov
Theorem" we get the existence of an invariant probability measure. Finally, we
show that all the invariant measures are concentrated on a compact subset of
$L^2$, which leads to the existence of an ergodic invariant measure.
