Promise-fulfillment identifies Jesus as the ultimate fulfillment of the promises made by God through His prophets. While it is true that there are normally multiple fulfillments to the promises of the prophets, some being nearly immediate, the ultimate fulfillment of the promise is realized in Christ.
Preaching promise-fulfillment requires the preacher to identify a prophetic promise, make mention of the partial fulfillments in Salvation History, and then demonstrate that the ultimate fulfillment is in Christ alone. For example, in 2 Samuel 7:13 God promised David that his offspring will build a house for God’s Name and that God will establish the throne of his kingdom forever. There is an immediate partial fulfillment to this promise by Solomon, who builds the Temple and whose throne and kingdom is established by God. There is a further partial fulfillment by Zerubbabel, a descendent of David, who rebuilds the Temple during the Persian period, but whose throne and kingdom is not established by God. However, the truest fulfillment of this prophesy is Jesus, a descendent of David according to the flesh, who builds an eternal house for God (through the crucifixion and resurrection of His body) and whose throne and kingdom will be established forever. Second Samuel 7 reminds us that God knows the beginning from the end, and that He works all things together according to His will, which is the salvation of many through His Son, Jesus the Christ, a descendent of David.
Promise-fulfillment showcases the reliability and unity of Scripture while also proclaiming God as the sovereign master of history.