Hippolytus Refutation of All Heresies book 9 ch 7 (170-236 ad)
And withal, after such audacious acts, they, lost to all shame, attempt to call themselves a Catholic Church! And some, under the supposition that they will attain prosperity, concur with them. During the episcopate of this one, second baptism was for the first time presumptuously attempted by them.
Origen De Principiis Book 4 par 8 [185-254 AD]
through His only-begotten Son Jesus Christ, what appears to us, who observe things by a right way of understanding, to be the standard and discipline delivered to the apostles by Jesus Christ, and which they handed down in succession to their posterity, the teachers of the holy Church.
Seventh Council of Carthage (257 ad)
Clarus of Mascula said: The sentence of our Lord Jesus Christ is plain, when He sent His apostles, and accorded to them alone the power given to Him by His Father; and to them we have succeeded, governing the Lord's Church with the same power, and baptizing the faith of believers. And therefore heretics, who neither have power without, nor have the Church of Christ, are able to baptize no one with His baptism.
Cyprian of Carthage epistle 41 par 3 (200-270 ad)
For this, my brother, we especially both labour after, and ought to labour after, to be careful to maintain as much as we can the unity delivered by the Lord, and through His apostles to us their successors, and, as far as in us lies, to gather into the Church the dispersed and wandering sheep which the wilful faction and heretical temptation of some is separating from their Mother
Cyprian of Carthage epistle 74 par 16 (200-270 ad)
But what is the greatness of his error, and what the depth of his blindness, who says that remission of sins can be granted in the synagogues of heretics, and does not abide on the foundation of the one Church which was once based by Christ upon the rock, may be perceived from this, that Christ said to Peter alone, "Whatsoever thou shall bind on earth shall be bound in heaven, and whatsoever thou shall loose on earth shall be loosed in heaven." And again, in the Gospel, when Christ breathed on the apostles alone, saying, remitted unto them, and whose soever sins ye retain they are retained." Therefore the power of remitting sins was given to the apostles, and to the churches which they, sent by Christ, established, and to the bishops who succeeded to them by vicarious ordination. But the enemies of the one Catholic Church in which we are, and the adversaries of us who have succeeded the apostles, asserting for themselves, in opposition to us, unlawful priesthoods, and setting up profane altars, what else are they than Korah, Dathan, and Abiram, profane with a like wickedness, and about to suffer the same punishments which they did, as well as those who agree with them, just as their partners and abettors perished with a like death to theirs?
Cyprian of Carthage epistle 75 par 3 (200-270 ad)
"[T]he Church is one, and as she is one, cannot be both within and without. For if she is with [the heretic] Novatian, she was not with [Pope] Cornelius. But if she was with Cornelius, who succeeded the bishop [of Rome], Fabian, by lawful ordination, and whom, beside the honor of the priesthood the Lord glorified also with martyrdom, Novatian is not in the Church; nor can he be reckoned as a bishop, who, succeeding to no one, and despising the evangelical and apostolic tradition, sprang from himself. For he who has not been ordained in the Church can neither have nor hold to the Church in any way"
Cyprian of Carthage epistle 68 par 4 (200-270 ad)
Christ, who says to the apostles, and thereby to all chief rulers, who by vicarious ordination succeed to the apostles: "He that heareth you, heareth me; and he that heareth me, heareth Him that sent me; and he that despiseth you, despiseth me, and Him that sent me." (lk 10:16)
Cyprian of Carthage epistle 75 par 6 (200-270 ad)
how hopeless are they, and what excessive ruin they earn for themselves from the indignation of God, who make a schism, and, forsaking their bishop, appoint another false bishop for themselves without,--Holy Scripture declares in the books of Kings; where ten tribes were divided from the tribe of Judah and Benjamin, and, forsaking their king, appointed for themselves another one without. It says, "And the Lord was very angry with all the seed of Israel, and removed them away, and delivered them into the hand of spoilers, until He had cast them out of His sight; for Israel was scattered from the house of David, and they made themselves a king, Jeroboam the son of Nebat." It says that the Lord was very angry, and gave them up to perdition, because they were scattered from unity, and had made another king for themselves. And so great was the indignation of the Lord against those who had made the schism, that even when the man of God was sent to Jeroboam, to charge upon him his sins, and predict the future vengeance, he was forbidden to eat bread or to drink water with them. And when he did not observe this, and took meat against the command of God, he was immediately smitten by the majesty of the divine judgment (eucharist analogy at the end)
Peter of Alexandria Genuine Acts of Peter (260-311ad)
A cycle of two hundred and eighty-five years from the incarnation of our Lord and Saviour Jesus Christ had rolled round, when the venerable Theonas, the bishop of this city, by an ethereal flight, mounted upwards to the celestial kingdoms. To him Peter, succeeding at the helm of the Church, was by all the clergy and the whole Christian community appointed bishop, the sixteenth in order from Mark the Evangelist, who was also archbishop of the city.
Eusebius of Caesarea Church History book 7 (295-340ad)
Zambdas received the episcopate of the church of Jerusalem after the bishop Hymenaeus, whom we mentioned a little above. He died in a short time, and Hermon, the last before the persecution in our day, succeeded to the apostolic chair, which has been preserved there until the present time.
Eusebius of Caesarea Church History book 3 (295-340ad)
As to the rest of his followers, Paul testifies that Crescens was sent to Gaul; but Linus, whom he mentions in the Second Epistle to Timothy as his companion at Rome, was Peter's successor in the episcopate of the church there,
Eusebius of Caesarea Church History book 3 (295-340ad)
we have felt compelled to give this catalogue in order that we might be able to know both these works and those that are cited by the heretics under the name of the apostles, including, for instance, such books as the Gospels of Peter, of Thomas, of Matthias, or of any others besides them, and the Acts of Andrew and John and the other apostles, which no one belonging to the succession of ecclesiastical writers has deemed worthy of mention in his writings
Eusebius of Caesarea Church History book 3 (295-340ad)
But the events connected with the apostolic succession we shall relate at the proper time.
Eusebius of Caesarea Church History book 4 (295-340ad)
At that time also Alexander, the fifth in the line of succession from Peter and Paul, received the episcopate at Rome, after Evarestus had held the office eight years
Eusebius of Caesarea Church History book 4 (295-340ad)
In the eighth year of the above-mentioned reign Soter succeeded Anicetus as bishop of the church of Rome, after the latter had held office eleven years in all. But when Celadion had presided over the church of Alexandria for fourteen years tie was succeeded by Agrippinus. [
+] At that time also in the church of Antioch, was well known as the sixth from the apostles. For Cornelius, who succeeded Hero, was the fourth, and after him Eros, the fifth in order, had held the office of bishop. [
+] AT that time there flourished in the Church Hegesippus, whom we know from what has gone before, and Dionysius, bishop of Corinth, and another bishop, Pinytus of Crete, and besides these, Philip, and Apolinarius, and Melito, and Musanus, and Modestus, and finally, Irenaeus. From them has come down to us in writing, the sound and orthodox faith received from apostolic tradition
Eusebius of Caesarea Church History book 4 (295-340ad)
And from the Syriac Gospel according to the Hebrews he quotes some passages in the Hebrew tongue, showing that he was a convert from the Hebrews, and he mentions other matters as taken from the unwritten tradition of the Jews
Eusebius of Caesarea Church History book 1 ch 1 (295-340ad)
The plan of the work. It is my purpose to write an account of the successions of the holy apostles, as well as of the times which have elapsed from the days of our Saviour to our own; and to relate the many important events which are said to have occurred in the history of the Church; and to mention those who have governed and presided over the Church in the most prominent parishes, and those who in each generation have proclaimed the divine word either orally or in writing.
Athanasius Letter 49 par 4 (296-373 ad)
For if all were of the same mind as your present advisers, how would you have become a Christian, since there would be no bishops? Or if our successors are to inherit this state of mind, how will the Churches be able to hold together?
Gregory of Nyssa Against Eunomius book 4 ch 5 (325-386 ad)
for it is enough for proof of our statement, that the tradition has come down to us from our fathers, handled on, like some inheritance, by succession from the apostles and the saints who came after them.
Gregory Nazianzen Oration 2 par 52 (325-389 ad)
the Twelve Apostles, and their successors, who with many toils and labors exercised their authority, each in his own time;
Gregory Nazianzen Oration 33 par 3 (325-389 ad)
What liturgical vessels which the multitude may not touch have I given over to the hands of the wicked, of a Nebuzaradan,(a) chief of the cooks, or of a Belshazzar, who wickedly used the sacred vessels for his revels,(b) and then paid a worthy penalty for his madness? "Altars beloved" as Holy Scripture saith, but ''now defiled."(g) And what licentious youth has insulted you for our sake with shameful writhings and contortions? O precious Throne, seat and rest of precious men, which hast been occupied by a succession of pious Priests, who from ancient times have taught the divine Mysteries, what heathen popular speaker and evil tongue hath mounted thee to inveigh against the Christian's faith?
Cyril of Jerusalem Catechetical Lecture 14 par 15 (347 ad)
Matthew who wrote the Gospel wrote it in the Hebrew tongue; and Paul the preacher was a Hebrew of the Hebrews; and the twelve Apostles were all of Hebrew race: then fifteen Bishops of Jerusalem were appointed in succession from among the Hebrews. What then is your reason for allowing your own accounts, and rejecting ours, though these also are written by Hebrews from among yourselves.
Ambrose of Milan On Repentance book 1 ch 7.33 (340-397 ad)
And this confession is indeed rightly made by them, for they have not the succession of Peter, who hold not the chair of Peter, which they rend by wicked schism; and this, too, they do, wickedly denying that sins can be forgiven even in the Church, whereas it was said to Peter: "I will give unto thee the keys of the kingdom of heaven. and whatsoever thou shalt bind on earth shall be bound also in heaven, and whatsoever thou shall loose on earth shall be loosed also in heaven." And the vessel of divine election himself said: "If ye have forgiven anything to any one, I forgive also, for what I have forgiven I have done it for your sakes in the person of Christ." Why, then, do they read Paul's writings, if they think that he has erred so wickedly as to claim for himself the right of his Lord? But he claimed what he had received, he did not usurp that which was not due to him.
Tyrannius Rufinus Apology book 2 par 33 (340-410 ad)
Peter was for twenty-four years Bishop of the Church of Rome.
Jerome Letter 14 par 8 (347-420 ad)
Far be it from me to censure the successors of the apostles, who with holy words consecrate the body of Christ, and who make us Christians. Having the keys of the kingdom of heaven,
Jerome Letter 14 par 8 [347-420 AD]
"Far be it from me to speak adversely of any of these clergy who, in succession from the apostles, confect by their sacred word the Body of Christ and through whose efforts also it is that we are Christians"
Jerome Letter 146 par 1 (347-420 ad)
Neither the command of wealth nor the lowliness of poverty makes him more a bishop or less a bishop. All alike are successors of the apostles"
Practical Apologetics: Early Church Fathers on Apostolic Succession