Sanskrit originated in an oral society, and the oral tradition was maintained through the development of early classical Sanskrit literature. Writing was not introduced to India until after Sanskrit had evolved into the Prakrits; when it was written, the choice of writing system was influenced by the regional scripts of the scribes. Therefore, Sanskrit has no native script of its own. As such, virtually all the major writing systems of South Asia have been used for the production of Sanskrit manuscripts.
What does Sanskrit not have of its own?
native script