There are no efforts have been made for the classification of internal wave and internal tide deposits for more than twenty years since they were discovered in the geological records. Here we try to propose a classification of internal wave and internal tide deposits based on the types which were already discovered in sedimentary rocks as well as the breaking processes of internal waves and its development research in physical oceanography. There are nine types through three orders, which include barotropic internal tide deposits, baroclinic internal tide deposits, barotropic short period internal wave deposits, baroclinic short period internal wave deposits, contour currents interaction internal wave deposits, low density turbidity currents interaction internal wave deposits, long period internal wave interaction deposits, standing internal wave deposits and other internal wave interaction deposits. The discovering internal wave and internal tide deposits in geological records are attributed into barotropic internal tide deposits, barotropic short period internal wave deposits and long period internal wave interaction deposits. And the other six types are still unrecognized. The classification proposed here perhaps give a reason for the phenomena that internal waves occur nearly ubiquitously in oceans yet their sedimentary records remain largely unrecognized. Furthermore, this classification is help for connecting the deposits of internal waves not only with its research in physical oceanography, but also with the oceanic unexpected events, ocean circulation and astronomical period in geological history.