In this article, we aim to investigate the regularity of statistical
solution for the 2D non-autonomous magneto-micropolar fluid equations as
well as the relationship between invariant measures and statistical
solutions. Firstly, to get the regularity of the statistical solution,
we prove the existence and regularity of the pullback attractor for the
equations. Then we prove the statistical solution possesses some
regularity properties by using regularity of the pullback attractor.
Finally, we prove the statistical solution is actual an invariant
measure for the equations.