The Father and the Son are the Parents of the Holy Spirit, if many churches are correct. If many churches are correct, the Trinity is a Family-- two Parents and a Progeny, similar to a human family.(Humans are made in the "likeness" and "image" of God according to Genesis 1:26) In the book of Job, which is in the Bible, God is compared to a father and a mother with a womb "From whose womb comes the ice? Who gives birth to the frost from the heavens?"-Job 38:29. Because we can think of God as like a mother (Isaiah 42:14, Isaiah 66:13, Matthew 23:37, Catechism of the Catholic Church 2nd edition paragraph 239), all three roles(Father,Mother,Progeny) in a basic human family are filled in the Trinity. Saying that the Father and the Son are the Parents of the Holy Spirit is another way of saying "the Holy Spirit proceeds from the Father and the Son" which has been official Catholic teaching for centuries. The Church teaches that the Son is begotten by the Father. If this is correct, the Father is the Father(Parent) of the Son. The Church teaches that the Holy Spirit proceeds from the Father and the Son. If this is correct, the Father and the Son are Parents of the Holy Spirit. The Catechism of the Catholic Church (second edition) paragraph 246 says that the Holy Spirit's "nature and subsistence" is "at once...from the Father and the Son."If the Church calls Mary mother(parent) of God even if Mary isn't the first source of Christ's humanity(God is the first source), then the Son can also be called a Parent of God (the Holy Spirit). If the Church is correct, the Father is the principle-Parent and the Son is the begotten-Parent. The scriptures are vague if the Holy Spirit is the Second or Third Person of the Trinity, whichever of these is true, the First and the Second may be the Parents of the Third. Parent definition from Merriam-Webster dictionary: One that begets or brings forth offspring. Principle means base/foundation/first-source/first-origin/root-cause.