  In this paper, we define finite Carlitz multiple polylogarithms and show that
every finite multiple zeta value over the rational function field
$\mathbb{F}_{q}(\theta)$ is an $\mathbb{F}_{q}(\theta)$-linear combination of
finite Carlitz multiple polylogarithms at integral points. It is completely
compatible with the formula for Thakur MZV's established in [C14].
