Like the Levitical priests, Jesus offered a sacrifice to satisfy the Law of God when He offered Himself for our sins. Unlike the Levitical priests, who had to continually offer sacrifices, Jesus only had to offer His sacrifice once, gaining eternal redemption for all who come to God through Him. One other important point about Jesus’ priesthood – every priest is appointed from among men. Jesus, though God from eternity, became a man in order to suffer death and serve as our High Priest. Charles H. Spurgeon writes:
Another of Christ’s offices is that of Priest. … The word “priest” does not mean a gaudily dressed pretender, who stands apart from other worshipers two steps higher than the rest of the people, and professes to have power to dispense pardon for human sin. The true priest was truly the brother of all the people. There was no man in the whole camp of Israel as brotherly as Aaron. In fact, Aaron and the priests who succeeded him were so much the first points of contact with men, on God’s behalf, that when a leper became too unclean for anybody else to approach, the last man who touched him was the priest. The house might be leprous, but the priest went into it; the man might be leprous, but he talked with him and examined him; and if afterwards that diseased man was cured, the first person who touched him must be a priest. “Go, show thyself to the priest,” was the command to every recovering leper; and until the priest had entered into fellowship with him, and had given him a certificate of health, he could not be received into the Jewish camp.
The priest was the true brother of the people, chosen from among themselves, at all times to be approached; living in their midst, in the very centre of the camp, ready to make intercession for the sinful and the sorrowful. Surely, you will never doubt that if Jesus perfectly sustains the office of priest, as he certainly does, he must be the most approachable of beings; approachable by the poor sinner, who has given himself up to despair, whom only a sacrifice can save; approachable by the foul harlot who is put outside the camp, whom only the blood can cleanse; approachable by the miserable thief who has to suffer the punishment of his crimes, whom only the great High Priest can absolve. No other man may care to touch you, O trembling outcast, but Jesus will. You may be separated from all of humankind, justly and righteously, by your iniquities, but you are not separated from that great Friend of sinners who at this very time is willing that publicans and sinners should draw near to him. (Advice for Seekers)