From http://www.gotquestions.org/God-love.html
Answer: This short question is among the most profound questions ever asked. And no human would ever be able to answer it sufficiently. One thing is certain, however. God does not love us because we are lovable or because we deserve His love. If anything, the opposite is true. The state of mankind since the fall is one of rebellion and disobedience. Jeremiah 17:9 describes man’s inner condition: “The heart is deceitful and desperately wicked. Who can know it?” Our innermost beings are so corrupted by sin that even we don’t realize the extent to which sin has tainted us. In our natural state, we do not seek God; we do not love God; we do not desire God. Romans 3:10-12 clearly presents the state of the natural, unregenerate person: “There is none righteous, no, not one; There is none who understands; There is none who seeks after God. They have all turned aside; They have together become unprofitable; There is none who does good, no, not one.” How then is it possible for a holy, righteous, and perfect God to love such creatures? To understand this we must understand something of the nature and character of God.
First John 4:8 and 16 tell us that “God is love.” Never was a more important declaration made than this; never was more meaning crowded into a few words than in this short sentence—God is love. This is a profound statement. God doesn’t just love; He is love. His nature and essence are love. Love permeates His very being and infuses all His other attributes, even His wrath and anger. Because God’s very nature is love, He must demonstrate love, just as He must demonstrate all His attributes because doing so glorifies Him. Glorifying God is the highest, the best, and the most noble of all acts, so, naturally, glorifying Himself is what He must do, because He is the highest and the best, and He deserves all glory.
Since it is God's essential nature to love, He demonstrates His love by lavishing it on undeserving people who are in rebellion against Him. God’s love is not a sappy, sentimental, romantic feeling. Rather, it is agape love, the love of self-sacrifice. He demonstrates this sacrificial love by sending His Son to the cross to pay the penalty for our sin (1 John 4:10), by drawing us to Himself (John 6:44), by forgiving us of our rebellion against Him, and by sending His Holy Spirit to dwell within us, thereby enabling us to love as He loves. He did this in spite of the fact that we did not deserve it. "But God demonstrates His own love for us in this: While we were still sinners, Christ died for us" (Romans 5:8).
God's love is personal. He knows each of us individually and loves us personally. His is a mighty love that has no beginning and no end. It is this experiencing of God’s love that distinguishes Christianity from all other religions. Why does God love us? It is because of who He is: "God is love."
Question: "What does it mean that God is love?"
Answer: Let’s look at how the Bible describes love, and then we will see a few ways in which God is the essence of love. “Love is patient, love is kind. It does not envy, it does not boast, it is not proud. It is not rude, it is not self-seeking, it is not easily angered, it keeps no record of wrongs. Love does not delight in evil but rejoices with the truth. It always protects, always trusts, always hopes, always perseveres. Love never fails” (1 Corinthians 13:4-8a). This is God's description of love, and because God is love (1 John 4:8), this is what He is like.
Love (God) does not force Himself on anyone. Those who come to Him do so in response to His love. Love (God) shows kindness to all. Love (Jesus) went about doing good to everyone without partiality. Love (Jesus) did not covet what others had, living a humble life without complaining. Love (Jesus) did not brag about who He was in the flesh, although He could have overpowered anyone He ever came in contact with. Love (God) does not demand obedience. God did not demand obedience from His Son, but rather, Jesus willingly obeyed His Father in heaven. “The world must learn that I love the Father and that I do exactly what my Father has commanded me” (John 14:31). Love (Jesus) was/is always looking out for the interests of others.
The greatest expression of God's love is communicated to us in John 3:16: “For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life.” Romans 5:8 proclaims the same message: “But God demonstrates his own love for us in this: While we were still sinners, Christ died for us.” We can see from these verses that it is God's greatest desire that we join Him in His eternal home, heaven. He has made the way possible by paying the price for our sins. He loves us because He chose to as an act of His will. Love forgives. “If we confess our sins, he is faithful and just and will forgive us our sins and purify us from all unrighteousness” (1 John 1:9).
So, what does it mean that God is love? Love is an attribute of God. Love is a core aspect of God’s character, His Person. God’s love is in no sense in conflict with His holiness, righteousness, justice, or even His wrath. All of God’s attributes are in perfect harmony. Everything God does is loving, just as everything He does is just and right. God is the perfect example of true love. Amazingly, God has given those who receive His Son Jesus as their personal Savior the ability to love as He does, through the power of the Holy Spirit (John 1:12; 1 John 3:1, 23-24).
