We study the spin ordering of localized quantum spins interacting with itinerant electrons via antiferromagnetic (Kondo model) or ferromagnetic (Hund coupling) exchange interactions in the one‐dimensional lattice models. In the case of ferromagnetic coupling we also include a super‐exchange interaction between the localized spins. Using the Density Matrix Renormalization Group (DMRG) we show, for both models, the existence of new magnetic phases with spin ordering consisting offerromagnetic islandscoupled antiferromagnetically. © 2003 American Institute of Physics