By a new and living way, which he hath consecrated for us, through the veil, that is to say, his {h} flesh;

(h) So Christ's flesh shows us the Godhead as if it were under a veil, For otherwise we could not stand the brightness of it.

People's New Testament

10:20 By a new and living way. Christ is the way (Joh 14:6). The way for us is not only pointed out but opened through his flesh.

Which he hath consecrated for us, through the veil, that is to say, his flesh. His rent body poured out the redeeming blood, and thus the veil before the holiest of all was rent open that we might enter in. For us the rent veil is the body of Christ.

Wesley's Notes

10:20 By a living way - The way of faith, whereby we live indeed. Which he hath consecrated - Prepared, dedicated, and established for us. Through the veil, that is, his flesh - As by rending the veil in the temple, the holy of holies became visible and accessible; so by wounding the body of Christ, the God of heaven was manifested, and the way to heaven opened.

King James Translators' Notes

consecrated: or, new made

Jamieson-Fausset-Brown Bible Commentary

20. which, &c.-The antecedent in the Greek is "the entering"; not as English Version, "way." Translate, "which (entering) He has consecrated (not as though it were already existing, but has been the first to open, INAUGURATED as a new thing; see on [2579]Heb 9:18, where the Greek is the same) for us (as) a new (Greek, 'recent'; recently opened, Ro 16:25, 26) and living way" (not like the lifeless way through the law offering of the blood of dead victims, but real, vital, and of perpetual efficacy, because the living and life-giving Saviour is that way. It is a living hope that we have, producing not dead, but living, works). Christ, the first-fruits of our nature, has ascended, and the rest is sanctified thereby. "Christ's ascension is our promotion; and whither the glory of the Head hath preceded, thither the hope of the body, too, is called" [Leo].

the veil-As the veil had to be passed through in order to enter the holiest place, so the weak, human suffering flesh (Heb 5:7) of Christ's humanity (which veiled His God head) had to be passed through by Him in entering the heavenly holiest place for us; in putting off His rent flesh, the temple veil, its type, was simultaneously rent from top to bottom (Mt 27:51). Not His body, but His weak suffering flesh, was the veil; His body was the temple (Joh 2:19).

Matthew Henry's Concise Commentary

10:19-25 The apostle having closed the first part of the epistle, the doctrine is applied to practical purposes. As believers had an open way to the presence of God, it became them to use this privilege. The way and means by which Christians enjoy such privileges, is by the blood of Jesus, by the merit of that blood which he offered up as an atoning sacrifice. The agreement of infinite holiness with pardoning mercy, was not clearly understood till the human nature of Christ, the Son of God, was wounded and bruised for our sins. Our way to heaven is by a crucified Saviour; his death is to us the way of life, and to those who believe this, he will be precious. They must draw near to God; it would be contempt of Christ, still to keep at a distance. Their bodies were to be washed with pure water, alluding to the cleansings directed under the law: thus the use of water in baptism, was to remind Christians that their conduct should be pure and holy. While they derived comfort and grace from their reconciled Father to their own souls, they would adorn the doctrine of God their Saviour in all things. Believers are to consider how they can be of service to each other, especially stirring up each other to the more vigorous and abundant exercise of love, and the practice of good works. The communion of saints is a great help and privilege, and a means of stedfastness and perseverance. We should observe the coming of times of trial, and be thereby quickened to greater diligence. There is a trying day coming on all men, the day of our death.