The promise Paul was referring to in Galatians was that the blessing of Abraham might come upon the Gentiles in Christ Jesus, that we might receive the promise of the Spirit through faith. (Genesis 12:3)(Galatians 3:14)
God's Spirit was promised to Gentiles through Abraham and Paul explained that only those who are of faith are sons of Abraham.
(Galatians 3:7)
Abraham was a Gentile from Chaldea who crossed the Euphrates to the land of Canaan at God's direction.
That's not us. Gentiles such as we were never promised anything, but a curse (Genesis 12:3 KJV). Unless God had a mystery, Gentiles such as we in time past had NO HOPE (Ephesians 2:11-12 KJV tells us why. read it and believe it)! Aren't you praising the Lord that He did? I sure am! It's where we fit in to God's eternal purpose!
Ephesians 3:1 For this cause I Paul, the prisoner of Jesus Christ for you Gentiles,
Ephesians 3:2 If ye have heard of the dispensation of the grace of God which is given me to you-ward:
Ephesians 3:3 How that by revelation he made known unto me the mystery; (as I wrote afore in few words,
Ephesians 3:4 Whereby, when ye read, ye may understand my knowledge in the mystery of Christ)
Ephesians 3:5 Which in other ages was not made known unto the sons of men, as it is now revealed unto his holy apostles and prophets by the Spirit;
Ephesians 3:6 That the Gentiles should be fellowheirs, and of the same body, and partakers of his promise in Christ by the gospel:
Ephesians 3:7 Whereof I was made a minister, according to the gift of the grace of God given unto me by the effectual working of his power.
Ephesians 3:8 Unto me, who am less than the least of all saints, is this grace given, that I should preach among the Gentiles the unsearchable riches of Christ;
Ephesians 3:9 And to make all men see what is the fellowship of the mystery, which from the beginning of the world hath been hid in God, who created all things by Jesus Christ:
Ephesians 3:10 To the intent that now unto the principalities and powers in heavenly places might be known by the church the manifold wisdom of God,
Ephesians 3:11 According to the eternal purpose which he purposed in Christ Jesus our Lord:
Ephesians 3:12 In whom we have boldness and access with confidence by the faith of him.