  Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson
relation, we investigate canonical formulation of massless fermion on the
spatial lattice. For free fermion system exact chiral symmetry can be
implemented without species doubling. In the presence of gauge couplings the
chiral symmetry is violated. We show that the divergence of the axial vector
current is related to the chiral anomaly in the classical continuum limit.
