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We present exact ground states in spin models with orbital generacy in oneand higher dimensions. A method to obtain the exact ground states of the modelswhen the Hamiltonians are composed of the products of two commutable operatorsis proposed. For the case of the spin-1/2 model with two-fold degeneracy someexact ground states are given, such as the Valence-Bond (VB), the magneticallyordered, and the orbitally ordered states under particular parameter regimes.We also find the models with the higher spin and degeneracy which have the newtypes of VB ground states in the spin and the orbital sectors.Comment: 4 pages(JPSJ.sty), 2 figures(EPS), to appear in J. Phys. Soc. Jpn.  68, No.2 (1999) 32

Exact Ground States in Spin Systems with Orbital Degeneracy