In the biblical tradition, God gave man language. When he created Adam (the first man), he let Adam call the living creature and whatsoever he called them that was the name thereof.
In Hindu tradition, language came from Sarasvati, Wife of Brahma, creator of the universe.
In Aztec tradition, the first humans didn’t speak. After a big flood came with only a man and a woman survived, a dove gave them a language.