  In this paper we investigate the existence of $H^1$-uniform attractor and
long-time behavior of solutions to non-autonomous micropolar fluid equations in
three dimensional cylindrical domains. In our considerations we take into
account that existence of global and strong solutions is proved under the
assumption on smallness of change of the initial and the external data along
the axis of the cylinder. Therefore, we refine the concept of uniform attractor
by adopting the idea which was proposed by J.W. Cholewa and T. D{\l}otko in
\cite{chol1}.
