The name Haggai (Hebrew: חַגַּי, Ḥaggay) means "festive" or "my feast." It's derived from the Hebrew word "ḥag" (חַג), which means "festival" or "feast."
Therefore, the name Haggai, in the Bible, carries the connotation of joy, celebration, and festivity, possibly signifying a person born during a festival or associated with a joyous occasion.
Specifically, it is the name of one of the twelve minor prophets in the Hebrew Bible. He prophesied after the return from the Babylonian exile, urging the people to rebuild the Temple in Jerusalem. His message was one of encouragement and a call to renewed dedication to God.