  We prove the partial H\"older continuity on boundary points for minimizers of
quasiconvex non-degenerate functionals \begin{equation*} \mathcal{F}({\bf u})
\colon =\int_{\Omega} f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \end{equation*} where
$f$ satisfies a uniform VMO condition with respect to the $x$-variable, is
continuous with respect to ${\bf u}$ and has a general growth with respect to
the gradient variable.
