  The subgroups $A$ and $B$ of a group~$G$ are called {\rm msp}-permutable, if
the following statements hold: $AB$~is a subgroup of~$G$; the subgroups $P$ and
$Q$ are mutually permutable, where $P$~is an arbitrary Sylow $p$-subgroup
of~$A$ and $Q$~is an arbitrary Sylow $q$-subgroup of~$B$, ${p\neq q}$. In the
present paper, we investigate groups that factorized by two {\rm
msp}-permutable subgroups. In particular, the supersolubility of the product of
two supersoluble {\rm msp}-permutable subgroups is proved.
