  In this paper, we prove that $(-\infty, 0)$ is a zero-free interval for
chromatic polynomials of a family ${\cal L}_0$ of hypergraphs and $(0, 1)$ is a
zero-free interval for chromatic polynomials of a subfamily ${\cal L}_0'$ of
${\cal L}_0$ of hypergraphs. These results extend known results on zero-free
intervals of chromatic polynomials of graphs and hypergraphs.
