Bi-Z-Continuous lattices and Bi-Z-Scott topology on complete lattices are introduced. Properties of Bi-Z-Scott topology are discussed. It is proved that Bi-Z-Scott topology is T2 when P is Z-quasicontinuous. Also it is proved that the image of Bi-Z-continuous lattices under Bi-Z-Scott continuous maps which preserves the z and z are still Bi-Z-continuous lattices.