  Let $R$ be a commutative ring with identity, $S$ a multiplicatively closed
subset of $R$, and $M$ be an $R$-module. In this paper, we study and
investigate some properties of $S$-primary submodules of $M$. Among the other
results, it is shown that this class of modules contains the family of primary
(resp. $S$-prime) submodules properly.
