Let us continue to “consider Jesus.” (Heb. 3:1)
Heb. 4:14-16“Therefore, since we have a great high priest who has passed through the heavens, Jesus the Son of God, let us hold fast our confession. 15 For we do not have a high priest who cannot sympathize with our weaknesses, but One who has been tempted in all things as we are, yet without sin. 16 Therefore let us draw near with confidence to the throne of grace, so that we may receive mercy and find grace to help in time of need.”
The promise of the Psalm (110:4) was that the Messiah would be a priest forever, not of the linage of Levi, but of Melchizedek. In Him, and not the Levitical priesthood of the was, is the hope of one who would bring salvation. (Heb. 5:9)
Jesus did met all the priestly qualification. He was called by God to His post. (Heb. 5:4-6) He offered acceptable sacrifice, in His case, He was both sacrifice and the officiant. (Heb. 7:27; Jn. 10:17,18) And then he interceded with God for man. (1 Tim. 3:15).
Also, being a High Priest, it is clear that He is a head of a class of priests. He has made His followers to be priests (Rev. 1:6) and to service in His temple, the church. (1 Pet. 2:9)
So Jesus is our head priest (and the sacrifice also) who stands near to God for for us and “He is able to save forever those who draw near to God through Him, since He always lives to make intercession for them” (Heb. 7:25).