God of recompense is a name of God that reflects one of His characteristics: He repays everyone. Good and evil are both recompensed appropriately by Him. In this case, His retribution is toward His enemies, particularly Babylon. He also rewards those who serve Him faithfully. Paul talks about this characteristic of God and how it cuts across the old racial lines between Jews and Gentiles. in Romans 2:6-10 he quotes a combination of Psalm 62:12 and Proverbs 24:12 saying that God will reward our deeds appropriately regardless of our background.
The Hebrew word is a plural, so the name can also be God of recompenses.
God of recompense in Hebrew:
Strong’s Concordance numbers: 410, 1578
Bible reference: Jer. 51:56
For the destroyer is coming against her, against Babylon,
And her mighty men will be captured,
Their bows are shattered;
For the Lord is a God of recompense,
He will fully repay. (Jeremiah 51:56)
The NIV calls God the God of retribution in this verse.
Similar names for God are the Jealous and avenging God, God of vengeance, and the God who executes vengeance for me. He is also the God of justice.