How the Holy Spirit is Called Love, and Whether He Alone is So Called. That the Holy Spirit is in the Scriptures Properly Called by the Name of Love
31 As, then, we call the only Word of God specially by the name of Wisdom, although universally both the Holy Spirit and the Father Himself is wisdom; so the Holy Spirit is specially called by the name of Love, although universally both the Father and the Son are love. But the Word of God, i.e. the only-begotten Son of God, is expressly called the Wisdom of God by the mouth of the apostle, where he says, “Christ the power of God, and the wisdom of God.” But where the Holy Spirit is called Love, is to be found by careful scrutiny of the language of John the apostle, who, after saying, “Beloved, let us love one another, for love is of God,” has gone on to say, “And every one that loves is born of God, and knows God.
He that loves not, knows not God; for God is love.” Here, manifestly, he has called that love God, which he said was of God; therefore God of God is love. But because both the Son is born of God the Father, and the Holy Spirit proceeds from God the Father, it is rightly asked which of them we ought here to think is the rather called the love that is God. For the Father only is so God as not to be of God; and hence the love that is so God as to be of God, is either the Son or the Holy Spirit.
But when, in what follows, the apostle had mentioned the love of God, not that by which we love Him, but that by which He “loved us, and sent His Son to be a propitiator for our sins,” and thereupon had exhorted us also to love one another, and that so God would abide in us—because, namely, he had called God Love; immediately, in his wish to speak yet more expressly on the subject, “Hereby,” he says, “know we that we dwell in Him, and He in us, because He has given us of His Spirit.”
Therefore the Holy Spirit, of whom He has given us, makes us to abide in God, and Him in us; and this it is that love does. Therefore He is the God that is love. Lastly, a little after, when he had repeated the same thing, and had said “God is love,” he immediately subjoined, “And he who abides in love, abides in God, and God abides in him;” whence he had said above, “Hereby we know that we abide in Him, and He in us, because He has given us of His Spirit.” He therefore is signified, where we read that God is love.
Therefore God the Holy Spirit, who proceeds from the Father, when He has been given to man, inflames him to the love of God and of his neighbor, and is Himself love. For man has not whence to love God, unless from God; and therefore he says a little after, “Let us love Him, because He first loved us.” The Apostle Paul, too, says, “The love of God is shed abroad in our hearts by the Holy Ghost, which is given unto us.”
Source: On the Holy Trinity (New Advent)