M2n, g w , D) is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold (M2n, g w ) of signature (+ + −− ) (or neutral), which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures (φ1, φ 2 ) on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kähler forms are symplectic.