Heb 5:6-10, Heb 6:20, Heb 7:11-22

In the Old Testament, God said that Christ was the eternal priest according to the order of Melchizedek. (Psalms 110:4)

Psalms 110:4 The Lord hath sworn, and will not repent, Thou art a priest for ever after the order of Melchizedek.

Jesus is the eternal high priest according to the order of Belchizedek, who obeyed the word of God by dying on the cross. (Hebrews 5:6-10, Heb 6:20)

Hebrews 5:6 As he saith also in another place, Thou art a priest for ever after the order of Melchisedec. 7 Who in the days of his flesh, when he had offered up prayers and supplications with strong crying and tears unto him that was able to save him from death, and was heard in that he feared; 8 Though he were a Son, yet learned he obedience by the things which he suffered; 9 And being made perfect, he became the author of eternal salvation unto all them that obey him; 10 Called of God an high priest after the order of Melchisedec.

Heb 6:20 Whither the forerunner is for us entered, even Jesus, made an high priest for ever after the order of Melchisedec.

Jesus is not a Levitical priest, but an eternal high priest according to the order of Melchizedek. Therefore, we can draw near to God through Christ, who is a better hope than the old commandments. (Heb 7:11-22)

Heb 7:11 If therefore perfection were by the Levitical priesthood, (for under it the people received the law,) what further need was there that another priest should rise after the order of Melchisedec, and not be called after the order of Aaron?

12 For the priesthood being changed, there is made of necessity a change also of the law.

13 For he of whom these things are spoken pertaineth to another tribe, of which no man gave attendance at the altar.

14 For it is evident that our Lord sprang out of Juda; of which tribe Moses spake nothing concerning priesthood.

15 And it is yet far more evident: for that after the similitude of Melchisedec there ariseth another priest,

16 Who is made, not after the law of a carnal commandment, but after the power of an endless life.

17 For he testifieth, Thou art a priest for ever after the order of Melchisedec.

18 For there is verily a disannulling of the commandment going before for the weakness and unprofitableness thereof.

19 For the law made nothing perfect, but the bringing in of a better hope did; by the which we draw nigh unto God.

20 And inasmuch as not without an oath he was made priest:

21 (For those priests were made without an oath; but this with an oath by him that said unto him, The Lord sware and will not repent, Thou art a priest for ever after the order of Melchisedec:)

22 By so much was Jesus made a surety of a better testament.