Hebrews 8:10

For this is the covenant that I will make with the house of
Israel
That is, this is the sum and substance of the covenant, which God promised to make with, or to make manifest and known to his chosen people, the true Israelites, under the Gospel dispensation; or the following are the several articles of that covenant, he proposed to consummate or finish, as before:

after those days, saith the Lord;
after the times of the Old Testament, when the Messiah shall be come, and the Gospel day shall take place. So the Jews ^F9 apply these days, when they represent the Israelites saying to Moses, O that he (God) would reveal (himself or will) to us a second time! O that he would kiss us with the kisses of his mouth, and that the doctrine of the law was fixed in our hearts; when he (Moses) said to them, this is not to be done now, but (abl dytel) , in the time to come, (i.e. in the times of the Messiah,) as it is said, ( Jeremiah 31:33 ) .

I will put my law
and so ^F11 they are elsewhere applied to the same times. And the first article in it is,

I will put my laws into their mind, and write them in their hearts;
by the laws of God are meant not the precepts of the ceremonial law, which were now abrogated, but either the moral law, and its commands; which is a transcript of the divine nature, was inscribed on Adam's heart in innocence, and some remains of it are even in the Gentiles, but greatly obliterated through the sin of man; and there is in men naturally a contrary disposition to it; in regeneration it is reinscribed by the Spirit of God; and great respect is had to it by regenerate persons, in which lies one part of their conformity to Christ: or else, since the word "law" signifies sometimes no other than a doctrine, an instruction, the doctrines of grace, of repentance towards God, of faith in Christ, and love to him, and every other doctrine may be intended; and the tables where, according to the tenor of this covenant, these are put and written, are two tables, as before, the "mind" and "heart"; but not two tables of stone, on which the law of Moses was written, partly that it might not be lost, through defect of memory, and partly to denote the firmness and stability of it, as also to point at the hardness of man's heart; but the fleshly tables of the heart; not that part of our flesh that is called the heart; but the souls of men, such hearts as are regenerated and sanctified by the Spirit of God, and such minds as are renewed by him: and the "putting" of them into the mind, designs the knowledge of them, which God gives; as of the moral law, of its spirituality and perfection, showing that there is no life and righteousness by it, that it is fulfilled by Christ, and is a rule of conversation to the saints; and of all other laws, ordinances, and doctrines of Christ: and the "writing" them in, or on the heart, intends a filling the soul with love and affection to them, so that it regards them singly and heartily; and a powerful inclination of the heart to be subject to them, through the efficacious grace of God; and which is done not with the ink of nature's power, but with the Spirit of the living God, ( 2 Corinthians 3:3 ) .

And I will be to them a God;
not in such sense as he is the God of all mankind, or as he was the God of Israel in a distinguishing manner, but as he is the God of Christ, and of all the elect in him; and he is their God, not merely as the God of nature and providence, but as the God of all grace; he is so in a covenant way, and as in Christ, and by virtue of electing grace, and which is made manifest in the effectual calling; and as such, he has set his heart on them, and set them apart for himself; he saves them by his Son, adopts and regenerates them, justifies and sanctifies them, provides for them, protects and preserves them; and happy are they that are interested in this blessing of the covenant, which is preferable to everything else; they have everything, and can want no good thing; they need fear no enemy; all things work together for their good; and God continues to be their God in life and in death; so that they may depend on his love, be secure of his power, expect every needful supply of grace, and to be carried through every duty and trial, and to share in the first resurrection, and to enjoy eternal happiness:

and they shall be to me a people;
not in such sense as all mankind are, or the Jews were in a more peculiar respect, but as all God's elect are, whether Jews or Gentiles; and who are such whom God has loved with a special love, has chose in Christ, and given to him, and with whom he has made a covenant in him; whom Christ saves from their sins by his blood, and calls them by his grace and Spirit, and who give up themselves to him; these are a distinct and peculiar people, a people near unto the Lord, and who are all righteous in Christ, and are made willing in the day of his power on their souls.