We construct an SO(5) symmetric electron model on a two-chain ladder w
ith purely local interactions on a rung. The ground state phase diagra
m of this model is determined in the strong-coupling limit. The relati
onship between the spin-gap magnon mode of the spin-gap insulator and
the pi resonance mode of the d-wave pairing phase is discussed. We als
o present the exact ground state for an SO(5) superspin model. [S0163-
1829(98)05022-X].