So also Christ glorified not himself to be made a high priest; but he that said unto him, Thou art my Son, today have I begotten thee. As he saith also in another place, Thou art a priest for ever after the order of Melchisedec. ~ Hebrews 5:5-6

There are two sides that we meet in scripture regarding the nature of Christ, the divine, and the human. As a friend once said to me, Jesus is the 200% person. He is 100% God and 100% man. Jesus is no less God than he is human, and no less human than he is God. He is fully God and man at the same time.

That Christ did not glorify himself to be made High Priest takes on a deeper meaning when we consider it in context to the flow of thought throughout Hebrews. In the first verse of chapter 5, we read that every high priest taken from among men is ordained for men in things pertaining to God, that he may offer both gifts and sacrifices for sins.

As Priest, it was necessary for Jesus to be taken from among men. He had to become like us to represent us. In the wisdom of God, Jesus did not become our Great High Priest prior to his incarnation. It was only after he humbled himself and was made in the likeness of men, and having suffered like us, that he was glorified by God to be our representative.

When he came from Heaven he represented God to humanity, to show us the Father, and to reveal the Father to us. In his return to God, he entered as our representative, to live in the presence of God for us as our merciful and faithful High Priest who is able to save us completely.

In chapter 2, the writer of Hebrews tells us that he is not ashamed to call us his brethren and even as we, his brethren, are  partakers of flesh and blood, he also himself likewise took part of the same; that through death he might destroy him that had the power of death, that is, the devil. And deliver them who through fear of death were all their lifetime subject to bondage. For verily he took not on him the nature of angels; but he took on him the seed of Abraham. Wherefore in all things it behoved him to be made like unto his brethren, that he might be a merciful and faithful high priest in things pertaining to God, to make reconciliation for the sins of the people. ~ Hebrews 2:14-17 

Before his incarnation, Jesus was clothed in divine glory. He was glorified in divine majesty, but in order to be the Priest we needed, it was necessary that he humble himself and enter into fellowship with the sufferings of humanity. Thus he was made perfect, as our representative, by the things that he suffered.

In as much as Jesus is one with the Father in his divine essence and glory, he is also joined to us in his humanity, being touched by the feeling of our infirmities. And when he has been perfected through suggering, in his human experience, he was glorified by God the Father to be our great High Priest.