  We prove ratio asymptotic for sequences of multiple orthogonal polynomials
with respect to a Nikishin system of measures
${\mathcal{N}}(\sigma_1,...,\sigma_m)$ such that for each $k$, the support of
$\sigma_k$ consists of an interval $\widetilde{\Delta}_k$, on which
$\sigma_k^{\prime} > 0$ almost everywhere, and a set without accumulation
points in $\mathbb{R} \setminus \widetilde{\Delta}_k$.
