Goos-Hanchen shift at the surface of dielectric/anisotropic metamaterials/metal sandwich structures was investigated using the stationary-phase method. The analytical expressions of Goos-Hanchen shift are presented for both total reflection and partial reflection condition at the first interface. Moreover, the necessary conditions for the existence and the sign of Goos-Hanchen shift for the sandwich structure containing four kinds of metamaterials are discussed. The influences of the incident angle φ, the angle between the optical axis and the interface α and the material thickness d on Goos-Hanchen shift are studied by numerical calculation, which is agree well with the theoretical analysis. The investigation of GH shift in the structure containing of metamaterial will benefit the application of metamaterial in microwave and optics system.