  The kaon B parameter is calculated in quenched lattice QCD with the Wilson
quark action. The mixing problem of the \Delta s=2 four-quark operators is
solved non-perturbatively with full use of chiral Ward identities, and this
method enables us to construct the weak four-quark operators exhibiting good
chiral behavior. We find B_K(NDR, 2GeV)=0.562(64) in the continuum limit, which
agrees with the value obtained with the Kogut-Susskind quark action.
