"This text is one of the most messianically significant passages of all the Bible, in both the Jewish and Christian traditions. Judaism sees in it a basis for a royal messianic expectation, whereas the NT and Christianity see a prophecy of the triumphal entry of Jesus Christ into Jerusalem on the Sunday before His crucifixion ( Matthew 25:5; John 12:15). Thus, though the fulfillment may be in dispute, there is unanimous conviction that a descendant of David is depicted here, one who, though humble, rides as a victor into his capital city Jerusalem. The way will have been prepared by the imposition of universal peace, following which the king will exercise dominion over the whole world." [1][source]
"We have pictured for us: (1) the Agent of peace, (2) the method of peace, and (3) the kingdom of peace." [2][source]