Let $\overline{X}$ a the analytic space associated to a proper $K$-scheme. Let $\overline{L}_{1},\overline{L}_{2},\dots,\overline{L}_{k}$ be admissible metrized line bundles on $\mathrm{X}$. Let $\mathrm{Z}$ be a $k$-dimensional Zariski closed subset of $\mathrm{X}$. Assume that $\overline{L}_{1}$ is strongly pluriharmonic on $\mathrm{U}$. Then, the support of the measure $c_{1}(\overline{L}_{1})\dots c_{1}(\overline{L}_{k})\delta_{\mathrm{Z}}$ is disjoint from $\mathrm{U}$.