In 2001, Komrakov obtained the complete local classification of four-dimensional homogeneous pseudo-Riemannian (4Dhp-R) with non-trivial isotropy [12, 13]. Based on this, the classification of homogeneous Ricci solitons among four dimensional manifolds M = G/H was obtained in [3]. In this context, by studying (4Dhp-R) spaces, we have obtained invariant Walker structures on the spaces under consideration. Indeed, we give a complete classification of (4Dhp-R) Walker manifolds with non-trivial isotropy.