We have firstly developed the ab initio linear combination of gaussian type orbital (LCGTO) program of generalized spin orbital (GSO) density functional theory (DFT) and applied it for multicenter metal clusters with noncollinear spin structures. It was found that two- and three-dimensional spin states become ground-states for Cr-3 (D-3h) and Cr-4(T-d) respectively, indicating importance of GSO treatment of DFT for these Clusters.