The Holy Spirit has many of the same essential attributes of God the Father.
The Holy Spirit is Eternal.
The Holy Spirit exists eternally (Hebrews 9:4). The Holy Spirit as an eternal Spirit that was not created after Jesus’ death or ministry. The Holy Spirit is a person who has existed eternally like the Father and the Son. William Lane Craig, Doctrine of the Holy Spirit (Reasonablefaith.org Defenders Teaching Class Podcast, part 2).
The Holy Spirit is All-Knowing (Omniscient).
The Holy Spirit has the attribute of omniscience, which means the Spirit is all-knowing. Also, in the same way that your soul or spirit comprehends your thoughts, the Holy Spirit from God comprehends (understands all of) the thoughts of God. (Psalm 139:4-7; Corinthians 2:10-11). Craig, Doctrine of the Holy Spirit, part 2.

After John the Baptist baptized Jesus, the heavens split open and
the Holy Spirit descended upon Jesus like a dove (Mark 1:9-11). Free Bible Images.
The Holy Spirit is Everywhere (Omnipresent).
God through the Holy Spirit is also everywhere or omnipresent. So the Holy Spirit is not only omnipresent or everywhere, meaning there is no place you can flee from his presence, he is also omniscient, and he even comprehends the fullness of the divine intellect. (Psalm 139:4-7; 1 Corinthians 2:10-11). Craig, Doctrine of the Holy Spirit, part 2
The Holy Spirit is Holy.
The attribute of holiness is an obvious personal attribute of the Holy Spirit. Jesus Christ “through the Spirit of holiness was declared with power to be the Son of God by his resurrection from the dead: Jesus Christ our Lord” (Romans 1:4 NIV). Therefore, the Holy Spirit has the property of the holiness of God – God’s moral perfection and separateness. Craig, Doctrine of the Holy Spirit, part 2.
The Holy Spirit is Love (Omnibenevolent).
The love of God characterizes the Holy Spirit. God’s love. “… God has poured out his love into our hearts by the Holy Spirit, whom he has given to us” (Romans 5:5). The Holy Spirit is the one who imparts the love of God to us. Craig, Doctrine of the Holy Spirit, part 2.
The Holy Spirit’s personal activities/works are separate from God and Jesus.
The Holy Spirit is fully God (Psalm 139:7-8; Matthew 28:19; Acts 5:3-4; 1 Corinthians 2:10-11, 3:16, 12:4-6, 2 Corinthians 13:14; Ephesians 4:4-6; 1 Peter 1:2; Jude 20:20-21; see also John 3:5-7 in conjunction with 1 John 3:9) and performs personal activities or works that manifest the active presence of God in the world, and especially in the church. At the same time, The Holy Spirit’s activities/works are separate from God and Jesus. These activities/works include the following. Grudem, Systematic Theology, 634-635; Grudem and Purswell, Bible Doctrine, 107-110.

God sent the promised Holy Spirit in flames or tongues of fire at
Pentecost (Acts 2:1-13). Free Bible Images.
The Holy Spirit as Counselor or Teacher or Comforter.
Jesus told his disciples that after Jesus left them, God the Father and Jesus would send the Holy Spirit for their advantage as their Counselor that would remind them of all that Jesus said to them and as their teacher and comforter (John 14:16, 26, 15:26, 16:7, 13). Grudem, Systematic Theology, 644-645; Grudem and Purswell, Bible Doctrine, 107.
The Holy Spirit guides and directs God’s people.
The Holy Spirit guides and directs God’s people on a daily basis. Christians are led by the Holy Spirit (Romans 8:14; Galatians 5:18) and walk or live their lives by the Holy Spirit (Romans 8:4; Galatians 5:16). The Holy Spirit gives God’s people insight into the meaning of the Scriptures and how to apply them (see John 16:13.) Grudem, Systematic Theology, 642-643; Grudem and Purswell, Bible Doctrine, 107.
The Holy Spirit as Interceder.
The Holy Spirit prays or intercedes for us to God the Father (Romans 8:26-27). Grudem, Systematic Theology, 647-648; Grudem and Purswell, Bible Doctrine, 107.
The Holy Spirit as the Spiritual Gift Giver.
The Holy Spirit distributes spiritual gifts to some and other gifts to others and empowers us so that we can serve others (Acts 1:8; 1 Corinthians 12:1-11). Grudem, Systematic Theology, 638-639; Grudem and Purswell, Bible Doctrine, 107.
The Holy Spirit as the Regenerator and Sanctifier.
The Holy Spirit regenerates us or gives us new spiritual life (John 3:5-8, Titus 3:4-7) and sanctifies or sets us apart and transforms us to be more like Jesus (Romans 8:13, 28-30, 15:16; 1 Peter 1:2). The Holy Spirit produces growth in the holiness of life so that a Christian will demonstrate the spiritual fruit of love, joy, peace, patience, kindness, goodness, faithfulness, gentleness, and self-control. (Galatians 5:22-23) Grudem, Systematic Theology, 636, 640; Grudem and Purswell, Bible Doctrine, 116.