  We define Drinfeld level structures for Drinfeld shtukas of any rank and show
that their moduli spaces are regular and admit finite flat level maps. In
particular, the moduli spaces of Drinfeld shtukas with Drinfeld
$\Gamma_0(\mathfrak{p}^n)$-level structures provide a good integral model and
relative compactification of the moduli space of shtukas with naive
$\Gamma_0(\mathfrak{p}^n)$-level defined using shtukas for dilated group
schemes.
