Tai is a Chinese unisex name meaning "great, extreme" though there's likely other meanings depending on the Chinese characters used.
The name could also be a variant spelling of Tae, a Korean masculine name with a variety of meanings depending on the hanja used; it's also a family name that means "great".
Tai is also a surname in various cultures: In Arabic it's derived from the name of a nisbah, used to indicate a person's origin, tribe affiliation, or ancestry. In this case, it refers to someone from the Tayy tribe which may mean "to plaster".
As a Chinese surname, Tai might have several meanings depending on the characters used, though it could also be a variant transcription of Dai, also a surname.
Origin: Chinese, Arabic, Korean, Japanese