The New Covenant promises are there to be a foundation for our hope in the Lord.  This is the reason I would like to share below the comfort I have found in Jesus, Him being the High Priest of the New Covenant.  When “darkness hides His lovely face”, when we go through hard times, when we feel lost or lonely, then it is that this hope must be “the anchor of our soul, both sure and steadfast, and which enters the Presence behind the veil, where the forerunner has entered for us, even Jesus, having become High Priest forever according to the order of Melchizedek.” Hebrews 8:19, 20

The difference we have in the New Covenant with Jesus as our High Priest:

Old Covenant	New Covenant
Moses was the mediator of the Old covenant	Jesus Christ is the Mediator of the New covenant
No oath was made to human priests by God.“for they have become priests without an oath, but He with an oath…” Hebrews 7:21	Jesus was made a priest by an oath:“God has sworn and will not relentYou are a priest forever, according to the Order of Melchizedek” Psalm 110:4
The law appoints as priests men who have weakness.	Jesus is the guarantee of a better covenant because of the oath. The oath appoints Jesus as Priest, who has been perfected forever.
The priests were human. As such they were sinners themselves, bound to the earthly realm.	Jesus is holy, harmless, undefiled, separate from sinners and is not earth-bound, but rather He is higher than the heavens.
The priests needed to daily offer up sacrifices for both their own sins as well as the sins of the people.	Jesus is sinless so does not need to offer up a sacrifice for Himself. At the cross He offered up a once-for-all sacrifice for the sins of mankind.
The priests offered animals as sacrifices for sin	Jesus offered up Himself as the sacrifice for sin.
The priests each eventually died, and so there were many different priests at different times.	Jesus never dies so His priesthood is unchangeable. (What a comfort!)
The priests could only intercede for the people whilst they were alive, therefore their priesthood was LIMITED.	Therefore, because our Priest never changes, because He always lives and is always interceding for us, He will save to the UTTERMOST those who come to God through Him. His Priesthood is UNLIMITED and NEVER-ENDING.

“His oath, His covenant, His blood

Support me in the ‘whelming flood

When all around my soul gives way

He then is all my hope and stay”

(lyrics from “On Christ the Solid Rock I stand”)

(This table is by no means exhaustive. There are so many more eternal truths about Jesus as our High priest. I have compiled this table from a study of Hebrews 6 & 7)

Blessings!