Hebrews 7:26-8:2
that is, suits us, meets our needs. No descendant of Aaron could fit the description given of Christ in these verses. These men were not “holy, harmless, undefiled.” Aaron made a golden calf and led Israel into idolatry! And Eli’s sons were guilty of gluttony and immorality (1 Sam. 2:12ff). But we have a perfect High Priest: He is holier and higher than any priest on earth, for He is ministering in the heavenly tabernacle in the very presence of God.
Aaron and his sons had to offer daily sacrifices, for themselves first, and then for the people. Christ is sinless; He needs no sacrifices. And the one sacrifice that He offered settled the problem of sin for all eternity. Furthermore, He offered Himself, not the blood of bulls and goats, as the sacrifice.
It is easy to see, then, that the order of Melchizedek is superior to the order of Aaron. This point has been proved historically, for Abraham honored Melchizedek above Levi; it has been proved doctrinally, for Ps. 110:4 definitely states that God created a new order of priesthood in the Law; and it has been proved practically, for no man could ever qualify to be High Priest except Jesus Christ. There is no need for us to look beyond Christ—He is all that we need.