Abstract: The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups.It is continued inverstigate semidirect products of LR-inverse semigroup.A sufficient and necessary condition such that the semidirect(direct) product of two semigroups is an LR-inverse semigroup is given.Finally,it is proved that the semidirect product of a semilattice and a right inverse semigroup.