  We investigate the meromorphic quasi-modular forms and their $L$-functions.
We study the space of meromorphic quasi-modular forms. Then we define their
$L$-functions by using the technique of regularized integral. Moreover, we give
an explicit formula for the $L$-functions. As an application, we obtain some
vanishing results of special $L$-values of meromorphic quasi-modular forms.
