Here are some Commentaries on Matthew 28:19
Albert Barnes Notes
Baptizing them unto the Father,Son, and Holy Spirit by a solemn profession of the only true religion, and by asolemn consecration to the service of the sacred Trinity.
Matthew Henry's Complete Commentary on the Bible
This baptism must be administered in the name of the Father, and of the Son, and of the Holy Ghost. That is, 1. By authority from heaven, and not of man for his ministers act by authority from the three persons in the Godhead, who all concur, as to our creation, so to our redemption they have their commission under the great seal of heaven, which puts an honour upon the ordinance, though to a carnal eye, like him that instituted it, it has no form or comeliness. 2. Calling upon the name of the Father, Son, and Holy Ghost. Every thing is sanctified by prayer, and particularly the waters of baptism. The prayer of faith obtains the presence of God with the ordinance, which is its lustre and beauty, its life and efficacy. But, 3. It is into the name (eis to onoma) of Father, Son, and Holy Ghost this was intended as thesummary of the first principles of the Christian religion, and of the new covenant, and according to it the ancient creeds were drawn up. By our being baptized, we solemnly profess, (1.) Our assent to the scripture-revelation concerning God, the Father, Son, and Holy Ghost. We confess our belief that there is a God, that there is but one God, that in the Godhead there is a Father that begets, a Son that is begotten, and a Holy Spirit of both. We are baptized, not into the names, but into thename, of Father, Son, and Spirit, which plainly intimates that these three are one, and their name one. The distinct mentioning of the three persons in the Trinity, both in the Christian baptism here, and in the Christian blessing (2 Corinthians 13:14), as it is a full proof of the doctrine of the Trinity, so it has done much towards preserving it pure and entire through all ages of the church for nothing is more great and awful in Christian assemblies than these two. (2.) Our consent to a covenant-relation to God,the Father, Son, and Holy Ghost. Baptism is a sacrament, that is, it is an oath super sacramentum dicere, is to say upon oath. It is an oath of abjuration, by which we renounce the world and the flesh, as rivals with God for the throne in our hearts and an oath of allegiance, by which we resign and give up ourselves to God, to be his,our own selves, our whole selves, body, soul, and spirit, to be governed by his will, and made happy in his favour we become his men, so the form of homage in our law runs. Therefore baptism is applied to the person, as livery and seisin is given of the premises, because it is the person that is dedicated to God. [1.] It is into the name ofthe Father, believing him to be the Father of our Lord Jesus Christ (for that is principally intended here), by eternal generation, and our Father, as our Creator, Preserver, and Benefactor, to whom therefore we resign ourselves, as our absolute owner and proprietor, to actuate us, and dispose of us as our supreme rector andgovernor, to rule us, as free agents, by his law and as our chief good, and highest end. [2.] It is into the name of the Son, the Lord Jesus Christ, the Son of God, andcorrelate to the Father. Baptism was in a particular manner administered in the name of the Lord Jesus, Acts 8:16,19:5. In baptism we assent, as Peter did, Thou art Christ, the Son of the living God (Matthew 16:16), and consent, as Thomas did, My Lord, and my God, John 20:28. We take Christ to be our Prophet, Priest, and King, and give up ourselves to be taught, and saved, and ruled, by him. [3.] It is into the name of the Holy Ghost. Believing the Godhead of the Holy Spirit, and his agency in carrying on our redemption, we give up ourselves to his conduct and operation, as our sanctifier, teacher, guide, and comforter.
John Gill,
in the name of the Father, and of the Son, and of the Holy Ghost; by the authority of these three divine persons, who all appeared, and testified their approbation of the administration of this ordinance, at the baptism of Christ: and as they are to be invocated in it, so the persons baptized not only profess faith in each divine person, but are devoted to their service, and worship, and are laid under obligation to obedience to them, Hence a confirmation of the doctrine of the Trinity, there are three persons, but one name, but one God, into which believers are baptized; and a proof of the true deity both of the Son, and of the Holy Ghost; and that Christ, as the Son of God, is God;
Albert Barnes Notes
Baptizing them unto the Father,Son, and Holy Spirit by a solemn profession of the only true religion, and by asolemn consecration to the service of the sacred Trinity.
Matthew Henry's Complete Commentary on the Bible
This baptism must be administered in the name of the Father, and of the Son, and of the Holy Ghost. That is, 1. By authority from heaven, and not of man for his ministers act by authority from the three persons in the Godhead, who all concur, as to our creation, so to our redemption they have their commission under the great seal of heaven, which puts an honour upon the ordinance, though to a carnal eye, like him that instituted it, it has no form or comeliness. 2. Calling upon the name of the Father, Son, and Holy Ghost. Every thing is sanctified by prayer, and particularly the waters of baptism. The prayer of faith obtains the presence of God with the ordinance, which is its lustre and beauty, its life and efficacy. But, 3. It is into the name (eis to onoma) of Father, Son, and Holy Ghost this was intended as thesummary of the first principles of the Christian religion, and of the new covenant, and according to it the ancient creeds were drawn up. By our being baptized, we solemnly profess, (1.) Our assent to the scripture-revelation concerning God, the Father, Son, and Holy Ghost. We confess our belief that there is a God, that there is but one God, that in the Godhead there is a Father that begets, a Son that is begotten, and a Holy Spirit of both. We are baptized, not into the names, but into thename, of Father, Son, and Spirit, which plainly intimates that these three are one, and their name one. The distinct mentioning of the three persons in the Trinity, both in the Christian baptism here, and in the Christian blessing (2 Corinthians 13:14), as it is a full proof of the doctrine of the Trinity, so it has done much towards preserving it pure and entire through all ages of the church for nothing is more great and awful in Christian assemblies than these two. (2.) Our consent to a covenant-relation to God,the Father, Son, and Holy Ghost. Baptism is a sacrament, that is, it is an oath super sacramentum dicere, is to say upon oath. It is an oath of abjuration, by which we renounce the world and the flesh, as rivals with God for the throne in our hearts and an oath of allegiance, by which we resign and give up ourselves to God, to be his,our own selves, our whole selves, body, soul, and spirit, to be governed by his will, and made happy in his favour we become his men, so the form of homage in our law runs. Therefore baptism is applied to the person, as livery and seisin is given of the premises, because it is the person that is dedicated to God. [1.] It is into the name ofthe Father, believing him to be the Father of our Lord Jesus Christ (for that is principally intended here), by eternal generation, and our Father, as our Creator, Preserver, and Benefactor, to whom therefore we resign ourselves, as our absolute owner and proprietor, to actuate us, and dispose of us as our supreme rector andgovernor, to rule us, as free agents, by his law and as our chief good, and highest end. [2.] It is into the name of the Son, the Lord Jesus Christ, the Son of God, andcorrelate to the Father. Baptism was in a particular manner administered in the name of the Lord Jesus, Acts 8:16,19:5. In baptism we assent, as Peter did, Thou art Christ, the Son of the living God (Matthew 16:16), and consent, as Thomas did, My Lord, and my God, John 20:28. We take Christ to be our Prophet, Priest, and King, and give up ourselves to be taught, and saved, and ruled, by him. [3.] It is into the name of the Holy Ghost. Believing the Godhead of the Holy Spirit, and his agency in carrying on our redemption, we give up ourselves to his conduct and operation, as our sanctifier, teacher, guide, and comforter.
John Gill,
in the name of the Father, and of the Son, and of the Holy Ghost; by the authority of these three divine persons, who all appeared, and testified their approbation of the administration of this ordinance, at the baptism of Christ: and as they are to be invocated in it, so the persons baptized not only profess faith in each divine person, but are devoted to their service, and worship, and are laid under obligation to obedience to them, Hence a confirmation of the doctrine of the Trinity, there are three persons, but one name, but one God, into which believers are baptized; and a proof of the true deity both of the Son, and of the Holy Ghost; and that Christ, as the Son of God, is God;