Kingdom of heaven or kingdom of God
These terms are used in various combinations and with varying meanings. Generally speaking, the kingdom of God on the earth is the Church. It is a preparation for the greater kingdom—the celestial or kingdom of heaven. This is the manner in which these terms are used in D&C 65. However, kingdom of heaven is sometimes used in scripture to mean the Church (as in Matt. 3:2; 4:17; 13; and 25:1–13), meaning that the true church on the earth is the path to heaven and is the kingdom of heaven on earth.
The Church of Jesus Christ of Latter-day Saints is the kingdom of God on the earth but is at the present limited to an ecclesiastical kingdom. During the millennial era, the kingdom of God will be both political and ecclesiastical (see Dan. 7:18, 22, 27; Rev. 11:15; JST Rev. 12:1–3, 7 [Appendix]; D&C 65) and will have worldwide jurisdiction in political realms when the Lord has made “a full end of all nations” (D&C 87:6).