In this paper, the spring model for the anisotropic interface layer is built and introduced to the global matrix technique that is popularly used for analyzing layered composites. In introducing the spring interface condition, the philosophy adopted is to incorporate it with a minimum disruption to the program structur e, particularly the assembly of the global matrix. The spring interface has ther efore been introduced as a "material layer". This layer has material constants w hich govern the stiffness across it and has zero thickness. The layer can be bui lt into the appropriate location in the global matrix without making any changes in the other layers of the system. Numerical computations for the Lamb wave dis persion curves in two-layered anisotropic composite media with different interfa ce conditions including rigid connection, slip connection, and complete disbond are made，and plots of the through-thickness particle displacement distributions of Lamb modes for the rigid bond interface and slip bond interface are compared .