In　this　paper,　we　consider　the　inhomogeneous　and　anisotropic　elastic　wave　equation　on　bounded　domain.　We　prove　the　internal　observability,　controllability　and　stabilization　of　the　elastic　wave　equation　under　a　suitable　condition　of　inhomogeneous　and　anisotropic　medias.　The　main　methods　are　multiplier　methods　and　compactness-uniqueness　arguments.