We report our recent results on the high density state of the Color SU(2) Lattice gauge theory with use of the Wilson Fermion.

We first discuss the behavior of the thermodynamical quantities, such as Polyakov line, gluon energy density and number density, in a wide region of $\kappa - \mu$ space, where \kappa$ and $\mu$ correspond to the hopping parameter and a chemical potential, respectively. Next we investigate the propagators of mesons, diquarks and gluons. With large chemical potential, peculiar lightening of the vector meson mass takes place, in contrast to other particles. Finally, potentials between quark-lines are also investigated. All of our results indicate the phase transition at high density. Especially, the change of the vector meson mass may be related to the restoration of the chiral symmetry.