  We present an implementation of the full electroweak $H+2~\text{jets}$
production process at hadron colliders in the framework of the
$\tt{POWHEG~BOX}$, a public tool for the matching of fixed-order perturbative
calculations with parton shower generators. Our implementation allows for the
simultaneous description of vector-boson fusion and Higgsstrahlung
contributions. NLO-QCD and electroweak corrections are taken into account and
matched to QCD and QED showers, respectively. The size of the fixed-order QCD
and electroweak corrections is found to be moderate, but dependent on the
considered selection cuts. QCD shower effects slightly modify the NLO-QCD
predictions and are most pronounced for distributions of non-tagging jets. The
impact of QED shower effects is small.
