And Adam called his wife's name Eve; because she was the mother of all living.

Wesley's Notes

3:20 God having named the man, and called him Adam, which signifies red earth, he in farther token of dominion named the woman, and called her Eve - That is, life. Adam bears the name of the dying body, Eve of the living soul. The reason of the name is here given, some think by Moses the historian, others by Adam himself, because she was - That is, was to be the mother of all living. He had called her Isha, woman, before, as a wife; here he calls her Evah, life, as a mother. Now,
1. If this was done by divine direction, it was an instance of God's favour, and, like the new naming of Abraham and Sarah, it was a seal of the covenant, and an assurance to them, that notwithstanding their sin, he had not reversed that blessing wherewith he had blessed them, Be fruitful and multiply: it was likewise a confirmation of the promise now made, that the seed of the woman, of this woman, should break the serpent's head.
2. If Adam did of himself, it was an instance of his faith in the word of God.

King James Translators' Notes

Eve: Heb. Chavah: that is Living

Scofield Reference Notes

Margin Eve

i.e. living, or life-giver.

Jamieson-Fausset-Brown Bible Commentary

20. Adam called his wife's name Eve-probably in reference to her being a mother of the promised Saviour, as well as of all mankind.

Matthew Henry's Concise Commentary

3:20,21 God named the man, and called him Adam, which signifies red earth; Adam named the woman, and called her Eve, that is, life. Adam bears the name of the dying body, Eve of the living soul. Adam probably had regard to the blessing of a Redeemer, the promised Seed, in calling his wife Eve, or life; for He should be the life of all believers, and in Him all the families of the earth should be blessed. See also God's care for our first parents, notwithstanding their sin. Clothes came in with sin. Little reason have we to be proud of our clothes, which are but the badges of our shame. When God made clothes for our first parents, he made them warm and strong, but coarse and very plain; not robes of scarlet, but coats of skin. Let those that are meanly clad, learn from hence not to complain. Having food and a covering, let them be content; they are as well off as Adam and Eve. And let those that are finely clad, learn not to make the putting on of apparel their adorning. The beasts, from whose skins they were clothed, it is supposed were slain, not for man's food, but for sacrifice, to typify Christ, the great Sacrifice. Adam and Eve made for themselves aprons of fig-leaves, a covering too narrow for them to wrap themselves in, Isa 28:20. Such are all the rags of our own righteousness. But God made them coats of skin, large, strong, durable, and fit for them: such is the righteousness of Christ; therefore put ye on the Lord Jesus Christ.

Matthew Henry's Whole Bible Commentary

Verse 20

God having named the man, and called him Adam, which signifies red earth, Adam, in further token of dominion, named the woman, and called her Eve, that is, life. Adam bears the name of the dying body, Eve that of the living soul. The reason of the name is here given (some think, by Moses the historian, others, by Adam himself): Because she was (that is, was to be) the mother of all living. He had before called her Ishah-woman, as a wife; here he calls her Evah-life, as a mother. Now, 1. If this was done by divine direction, it was an instance of God's favour, and, like the new naming of Abraham and Sarah, it was a seal of the covenant, an assurance to them that, notwithstanding their sin and his displeasure against them for it, he had not reversed that blessing wherewith he had blessed them: Be fruitful and multiply. It was likewise a confirmation of the promise now made, that the seed of the woman, of this woman, should break the serpent's head. 2. If Adam did it of himself, it was an instance of his faith in the word of God. Doubtless it was not done, as some have suspected, in contempt or defiance of the curse, but rather in a humble confidence and dependence upon the blessing. (1.) The blessing of a reprieve, admiring the patience of God, that he should spare such sinners to be the parents of all living, and that he did not immediately shut up those fountains of the human life and nature, because they could send forth no other than polluted, poisoned, streams. (2.) The blessing of a Redeemer, and promised seed, to whom Adam had an eye, in calling his wife Eve-life; for he should be the life of all the living, and in him all the families of the earth should be blessed, in hope of which he thus triumphs.