The Gospel is the story of how God has made a way for us to have a relationship with Him.
The Bible teaches us that we were all created for the purpose of loving God and living in unbroken fellowship with Him (Gen. 1:26-28; 1 Cor. 10:31; Rev. 4:11). By our nature, and because of sin, we have chosen to reject that fellowship with God. As a result, we are naturally separated from God and destined for eternal punishment (Rom. 3:23; 1 John 3:4b; Jam. 2:10; Rom. 6:23). Yet God, in His rich mercy and great love, sent Jesus Christ to die on the cross and pay the penalty for sin that we deserved (Eph. 2; Rom. 5:8; 1 Pet. 3:18; 1 Cor. 15:3b-4). As a result, by God's grace alone, we can have the relationship with God we were created to have (Titus 3:5; Eph. 2:8,9; Rom. 3:20).
We must accept that gift of salvation through faith. This means we must believe that Jesus is God and that He has provided salvation for us by His death and resurrection (John 1:1,14; 1 Cor. 15:3,4; John 3:36). Then we must turn from our sins (Acts 3:19; Luke 13:3). Finally, we must trust in Jesus Christ alone for our salvation (Rom. 10:9-13; John 1:12; 1 John 5:11-13).
Here is a video that gives further explanation of the gospel. You may also click on "the Story" picture below for more information about this good news.