Amillennialists do not believe in a Millennial Kingdom. Followers of this view hold that Christ currently reigns in the hearts of Christians and that there is no need for a physical reign. The future reign with Christ described in Revelation 20 is considered to be ruling with Christ in heaven and not on earth.
Because there are promises to Israel that are to take place in the Millennial Kingdom, this view holds that the promises to Israel have been transferred to the church. God is done with Israel as they have rejected their Messiah. See Covenant Theology for more information.
See also premillennialism, and postmillennialism for different views concerning the Millennial Kingdom. For further discussion see the article on the Millennial Kingdom.