Adam Clarke's Commentary on the Bible - Hebrews 8:6
Now hath he obtained a more excellent ministry - His office of priesthood is more excellent than the Levitical, because the covenant is better, and established on better promises: the old covenant referred to earthly things; the new covenant, to heavenly. The old covenant had promises of secular good; the new covenant, of spiritual and eternal blessings. As far as Christianity is preferable to Judaism, as far as Christ is preferable to Moses, as far as spiritual blessings are preferable to... read more
John Gills Exposition of the Bible Commentary - Hebrews 8:13
In that he saith a new covenant ,.... In the above prophecy, Hebrews 8:8 he hath made the first old ; this naturally follows from hence; if the second is new, the first must be old; which is called so, not on account of its date and duration; for the covenant of grace itself is older than this mode of administration of it, and the manifestation of that to the patriarchs was before this covenant, and so was the covenant of works before it; but on the account of its faultiness and... read more