Many know God is a God of love, which is acceptable to most of the modern world. God is also a God of wrath which many in our culture have a hard time accepting including many in the church. When the Presbyterian Church in the United States of America (PCUSA) wanted to add Keith and Kristyn Getty's classic song, "In Christ Alone," they wanted them to change the lyric which says, "the wrath of God was satisfied" to "the love of God was magnified." The Gettys refused so the song was never added. In fact, that second verse has been omitted by some contemporary Christian artists and replaces with an "whoa, whoa" style of singing such as this one.
We see the wrath of God through out scripture as well as all of God attributes. Colin Smith wrote:
As peace is a truth widely loved, wrath is a truth widely loathed. Many in the history of the church has been embarrassed by God’s wrath and have wanted to revise this biblical truth.
Yet, this theme of the wrath (or anger) of God toward sin and sinners is clearly and widely taught in the Bible. This truth is so interwoven with the hope of our peace with one another and with God that if we lose our grasp on the one, we lose our hope of the other.
Smith goes on to quote John Stott who gives us six things we need to know about the wrath of God:
The wrath of God is, according to John Stott, “His steady, unrelenting, unremitting, uncompromising antagonism to evil in all its forms and manifestations.”
1. The anger of God is not like our anger.
When we speak about the wrath of God, remember that it is the wrath of God. So everything we know about God—he is just, he is love, and he is good—needs to be poured into our understanding of his wrath.
The words “anger” and “wrath” make us think about our experience. You may have suffered because of someone who is habitually angry, loses his temper, or flies into a rage. Our anger can often be unpredictable, petty, and disproportionate.
Although these things are often true of human anger, none of them are true of the anger of God. God’s wrath is the just and measured response of his holiness toward evil.
2. God’s wrath is provoked.
The anger of God is not something that resides in him by nature; it is a response to evil. It is provoked.
The Bible says, “God is love.” That is his nature. God’s love is not provoked. He does not love us because he sees some wisdom, beauty, or goodness in us. He loves you because he loves you, and you can never get beyond that (Deuteronomy 7:7).
But God’s wrath is different, his holy response to the intrusion of evil into his world. If there was no sin in the world, there would be no wrath in God. So the Bible’s teaching about the wrath of God is different from ancient mythologies, gods who run around frustrated and fuming. God’s anger is his settled resolve that evil will not stand.
3. God is slow to anger.
Why does God allow evil to continue in the world? Why does he not wipe it out?
God holds out the offer of grace and forgiveness in Jesus Christ (2 Peter 3:9). People are coming to him in faith and repentance every day, and God patiently holds open the door of grace. The day of God’s wrath will come, but God is not in a hurry to bring it because then the door of grace will be closed.
4. God’s wrath is revealed now.
How does God reveal his wrath when sinners suppress the truth about him, exchange the truth for a lie, and worship created things rather than the Creator? God gives them up (Romans 1):
•Therefore, God gave them up in the lusts of their hearts to impurity (1:24).
•For this reason God gave them up to dishonorable passions (1:26).
•God gave them up to a debased mind (1:28).
One writer states, “Paul is not teaching that one day God will punish Roman civilization for its vice and decadence. On the contrary, the vice and decadence are themselves God’s punishment…Their punishment was their greed, envy, strife, deceit, violence and faithlessness.”  When we see the moral fabric of our culture being torn, then as Christian believers we should cry to God for mercy.
5. God’s wrath is stored up.
The whole Bible story leads to a day when God will deal with all evil fully, finally, and forever. This will be the day of wrath, when God will recompense every evil and bring to judgment every sin.
God will do this in perfect justice. The punishment for every sin will match the crime. When the judgment is done, every mouth will be stopped because everyone will know that God judged in righteousness and justice. Then God will usher in a new heaven and a new earth, which will be the home of righteousness.
6. God’s wrath is on sinners.
In John 3:36, he does not say, “The wrath of God will come on [the disobedient].” He says, “Whoever does not obey the Son shall not see life, but the wrath of God remains on him.” It is already there. Why is it already there? By nature, we are children of wrath (Ephesians 2:3). It is the state in which we were born.
What, at the end of the day, is the greatest human problem? It is not that we are lost and need to find our way on a spiritual journey. It is not that we are wounded and need to be healed. At the core of the human problem is that we are sinners under the judgment of God, and the divine wrath hangs over us unless and until it is taken away.
For the wrath of God to be taken away, Christ became our propitiation. He took our place. The wrath of God was on Him for the sins we have committed. If you are child of God, there is no need to be fearful of His wrath yet we should be fearful of the wrath that is being stored up for those who have rejected Him.