  In this paper, we continue to investigate topological properties of
$\mathcal{I}H$ and its two star versions namely $SS \mathcal{I} H$ and $S
\mathcal{I} H$. We characterized $\mathcal{I}$-Hurewicz property by
$\mathcal{I}$-Hurewicz Basis property and $\mathcal{I}$-Hurewicz measure zero
property for metrizable spaces. We also characterized $\mathcal{I}$-Hurewicz
property, star-$\mathcal{I}$-Hurewicz property and strongly
star-$\mathcal{I}$-Hurewicz property using selection principles.
