The Roman Catholic, Eastern Orthodox, Oriental Orthodox, Nestorian and Anglican Churches hold that apostolic succession is maintained through the ordination of bishops in unbroken personal succession back to the apostles but do not necessarily interpret this "succession" identically. In Roman Catholic and Orthodox theology, the unbrokenness of apostolic succession is significant because of Jesus Christ's promise that the gates of hell would not prevail against the Church, and his promise that he himself would be with the apostles to the end of the age. In this interpretation, a complete disruption or end of apostolic succession would mean that these promises were not kept.
Both Orthodox and Roman Catholics share the belief that their teaching today is the same as or is in harmony with the teaching of the first apostles. This form of the doctrine was first formulated by Irenaeus of Lyons in the second century, in response to certain Gnostics. The Gnostics claimed that Christ or the Apostles passed on some teachings secretly, or that there were some secret apostles, and that they (the Gnostics) were passing on these teachings. Irenaeus responded that the identity of the original Apostles was well known, as was the main content of their teaching and the identity of the apostles' successors. Therefore, anyone teaching something contrary to what was known to be apostolic teaching was not a successor to the Apostles or to Christ.
Roman Catholics recognize the validity of the apostolic successions of the Eastern Orthodox and Oriental Orthodox churches. Pope Leo XIII clarified, in his 1896 bull Apostolicae Curae, that the Roman Catholic church believes that the Anglican Church's ordinations are invalid because of changes made to the rite of ordination under Edward VI, thus denying that Anglicans participate in the apostolic succession.
In addition to a line of historic transmission, Eastern Orthodox and Oriental Orthodox churches likewise require that a hierarch maintain Orthodox Church doctrine, which they hold to be that of the Apostles. The Eastern Orthodox have permitted clergy ordained by Roman Catholic and Anglican bishops to be rapidly ordained within Orthodoxy. However, this is a matter of ekonomia and not recognition of Apostolic Succession.
The Armenian Apostolic Church, which is one of the Oriental Orthodox churches, recognizes Roman Catholic episcopal consecrations without qualification (and that recognition is reciprocated).
Some Protestant churches, such as the Moravians and some Lutherans, do have Apostolic Succession (also known as the "Historic Episcopate"); however most Protestant churches do not hold to the doctrine that the Historic Episcopate is necessary. They generally hold that one important qualification of the apostles was that they were chosen directly by Jesus Christ, and the work of these twelve, together with the prophets of the twelve tribes of Israel, provide a foundation for the whole church of subsequent history through the Scriptures which we have from them. To share with the apostles the same faith, to believe their word in the Scriptures, to receive the same Holy Spirit, is the only meaningful sense of apostolic succession; because it is in this sense that men have fellowship with God in the truth (an extension of the Reformation doctrines of sola fide and sola scriptura). It is worth noting, however, that some Protestant charismatic churches include "apostles" among the offices that should be evident into modern times in a true church, though they never trace an historical line of succession. The Church of Jesus Christ of Latter-day Saints (LDS) has a similar, but unique position.
The LDS claims that apostolic succession was broken during the Great Apostasy, or falling away from the teachings of Jesus Christ, and later restored in America. The LDS Church maintains that God the Father and His son, Jesus Christ, appeared to Joseph Smith, Jr near Palmyra, New York in 1820 and called Joseph as a prophet to restore Christ's church and correct doctrines and practices to the earth. Near the time that Joseph formally organized the church in 1830, John the Baptist and later the apostles Peter, James and John appeared as resurrected beings to Joseph. In both of these visitations, these divine messengers were directed by Jesus to lay their hands on Joseph's head to ordain him to the Priesthood giving him authority to conduct some of the affairs of God's Kingdom on earth. Many other divine messengers such as Moses and Elijah also appeared to Joseph during his life and ordained Joseph in a similar manner with the particular authority that had been given to them. Joseph then ordained others who were baptized into the church with various levels of priesthood authority. All the various levels or "keys" of this authority have been and are passed on to worthy, male members of the LDS Church. In the LDS Church, apostles hold more priesthood authority than bishops: while a bishop governs a local congregation, the quorum of the apostles govern the entire church.
Latter-day Saints interpret the Scriptural promise of the Church's constancy differently: in the first, Jesus promises that the gates of hell would not prevail against continuous revelation; in the second, Jesus' promise was to the apostles individually, not to the Church at large, and only so far as his followers continued to obey his commandments. This interpretation allows a break in apostolic succession if the leaders and followers failed to be faithful or obedient. Turning to the teaching "by their fruits ye shall know them", Latter-day Saints would also hold that it is inconsistent to claim that Jesus' promise to be with the apostles is support for an unbroken line of succession in light of the un-Christian-like behavior of some ecclesiastical leaders through the history of mainstream Christianity.