  Recently, the two variable $q$-$L$-functions which interpolate the
generalized $q$-Bernoulli polynomials associated with $\chi$ are introduced and
studied, cf. [2]. In this paper, we construct multiple Dirichlet's
$q$-$L$-function which interpolates the generalized multiple $q$-Bernoulli
numbers attached to $\chi $ at negative integer and study its properties.
