The effect of in-medium Delta-isobar in strange hadronic matter(SHM) is stu
died within the framework of the relativistic mean field(RMF). As far as th
e effect of the in-medium Delta-isobar is concerned, we find a second stabl
e state comes into being in the higher density scope in SHM and this effect
promotes the producing of Xi hyperons through the reaction Lambda Lambda-G
N. This effect is consistent with the conclusion that Xi hyperons are const
ituents of SHM.