  In this paper we introduce a finite field analogue of a Lauricella
hypergeometric series. An integral formula for the Lauricella hypergeometric
series and its finite field analogue are deduced. Transformation and reduction
formulae and several generating functions for the Lauricella hypergeometric
series over finite fields are obtained. Some of these generalize certain
results of Li \emph{et al} and Greene as well as several other known results.
