Meaning the messenger of Jah (Jah being a shortened form of Jehovah), or My messenger (cf. Mal. 3:1). The name indicates that Malachi was a messenger of God to minister the word of God to His people Israel.
The central thought of Malachi’s prophecy is the correcting of the priests among Israel for the coming of Christ as the Messenger of God (Mal. 3:1a) and the advising of the people of Israel for the appearing of Christ as the Sun of righteousness (Mal. 4:2).