For a lattice regularized chiral-invariant SU(2)L× SU(2)R fermion-scalar model with a Yukawa coupling y and a Wilson-Yukawa coupling w, we investigate the phase structure and in particular show the existence of the multicritical line, in the strong Yukawa and/or Wilson Yukawa coupling region, at which four phases meet. The result is in good agreement with the Monte Carlo simulation. This analyt...