GOD'S WORD® Translation
Jesus has been given a priestly work that is superior to the Levitical priests' work. He also brings a better promise from God that is based on better guarantees.

American Standard Version
But now hath he obtained a ministry the more excellent, by so much as he is also the mediator of a better covenant, which hath been enacted upon better promises.

Berean Study Bible
Now, however, Jesus has received a much more excellent ministry, just as the covenant He mediates is better and is founded on better promises.

Douay-Rheims Bible
But now he hath obtained a better ministry, by how much also he is a mediator of a better testament, which is established on better promises.

English Revised Version
But now hath he obtained a ministry the more excellent, by how much also he is the mediator of a better covenant, which hath been enacted upon better promises.

King James Bible
But now hath he obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises.

World English Bible
But now he has obtained a more excellent ministry, by so much as he is also the mediator of a better covenant, which on better promises has been given as law.

Young's Literal Translation
and now he hath obtained a more excellent service, how much also of a better covenant is he mediator, which on better promises hath been sanctioned,

Hebrews 8:6 Additional Translations ...