In this paper, we introduce Matlis flat modules as a generalization of copure flat modules and give their characterizations. We prove that if R is a commutative Artinian ring and S ⊂ R is a multiplicative set, then S −1 M is a Matlis flat S −1 R-module for any Matlis flat R-module M . Also we prove that every module has Matlis flat preenvelope over commutative Artinian rings.