Here's a great article from got questions dot org.
The phrase gospel of the kingdom and references to “the kingdom of God” and “the kingdom of heaven” are used repeatedly in connection with the Lord Jesus and His work on earth. The word gospel simply means “good news,” and the term translated “kingdom” is the Greek word basileia, which means “the realm in which a sovereign king rules.” Throughout the New Testament, the word kingdom consistently refers to the rule of Christ in the hearts of believers, since, for the time being, Christ’s kingdom is not of this world (John 18:36).
When Jesus began His three-year earthly ministry, He preached that “the kingdom of God is near” (Matthew 4:17; Luke 10:9). Mark 1:14–15 gives a concise description of Jesus’ primary focus during His time on earth: “Now after John was arrested, Jesus came into Galilee, proclaiming the gospel of God, and saying, ‘The time is fulfilled, and the kingdom of God is at hand; repent and believe in the gospel.’” When asked to define His kingdom, Jesus explained it this way: “The kingdom of God is not coming in ways that can be observed. . . . The kingdom of God is in the midst of you” (Luke 17:20–21). Romans 14:17 says that the kingdom of God is a matter “of righteousness and peace and joy in the Holy Spirit.”
The gospel of the kingdom is the good-news message of repentance, redemption, and restoration offered by God to all who will receive Christ. Those who accept this offer become part of His eternal kingdom (John 1:12). Those who choose to remain in their sin cannot be a part of this kingdom (1 Corinthians 6:9–10; Galatians 5:19–21). Although grace makes this offer available to anyone who will receive it, Jesus warned that it would be very difficult to enter His kingdom and few would do so (Matthew 7:14).
The phrase gospel of the kingdom and references to “the kingdom of God” and “the kingdom of heaven” are used repeatedly in connection with the Lord Jesus and His work on earth. The word gospel simply means “good news,” and the term translated “kingdom” is the Greek word basileia, which means “the realm in which a sovereign king rules.” Throughout the New Testament, the word kingdom consistently refers to the rule of Christ in the hearts of believers, since, for the time being, Christ’s kingdom is not of this world (John 18:36).
When Jesus began His three-year earthly ministry, He preached that “the kingdom of God is near” (Matthew 4:17; Luke 10:9). Mark 1:14–15 gives a concise description of Jesus’ primary focus during His time on earth: “Now after John was arrested, Jesus came into Galilee, proclaiming the gospel of God, and saying, ‘The time is fulfilled, and the kingdom of God is at hand; repent and believe in the gospel.’” When asked to define His kingdom, Jesus explained it this way: “The kingdom of God is not coming in ways that can be observed. . . . The kingdom of God is in the midst of you” (Luke 17:20–21). Romans 14:17 says that the kingdom of God is a matter “of righteousness and peace and joy in the Holy Spirit.”
The gospel of the kingdom is the good-news message of repentance, redemption, and restoration offered by God to all who will receive Christ. Those who accept this offer become part of His eternal kingdom (John 1:12). Those who choose to remain in their sin cannot be a part of this kingdom (1 Corinthians 6:9–10; Galatians 5:19–21). Although grace makes this offer available to anyone who will receive it, Jesus warned that it would be very difficult to enter His kingdom and few would do so (Matthew 7:14).