Biblically, wrath is the divine judgment upon sin and sinners. It does not merely mean that it is a casual response by God to ungodliness, but carries the meaning of hatred, revulsion, and indignation. God is by nature love (1 John 4:16), however, in His justice He must punish sin. The punishment is called the wrath of God. It will occur on the final Day of Judgment when those who are unsaved will incur the wrath of God. It is, though, presently being released upon the ungodly (Rom. 1:18-32) in the hardening of their hearts.
Wrath is described as God's anger (Num. 32:10-13), as stored up (Rom. 2:5-8), and as great (Zech. 7:12). The believer's deliverance from God's wrath is through the atonement (Rom. 5:8-10). "For God has not destined us for wrath, but for obtaining salvation through our Lord Jesus Christ," (1 Thess. 5:9).