Abstract: This paper deals with the anisotropic dynamic theory of saturatedelastic fissured media. By introducing the concept of damage mechanics, the tangential crack tensor and the normal crack tensor are proposed to describethe distribution and orientation of fissures, and the modern theory of mixture is used to establish the balance equations of mass and momentun for each constituent. Definitions and distinctions of macroscopic and microscopic velocities of constituents are discussed,and momentum supply representing the interaction between solid and fluid is reexamined. Linear constitutive equations for solid skeleton and average opening displacement for crack are finally postulated,and the field governing equations of motion for each constituent are also derived