thumb|right|120 px|[[El Greco's Jesus Carrying the Cross, 1580.]]

Substitutionary atonement, also called vicarious atonement, is a central concept within Western Christian theology which asserts that Jesus died for humanity, as claimed by the Western classic and paradigms of atonement in Christianity, which regard Jesus as dying as a substitute for others.

Substitutionary atonement has been explicated in the "classic paradigm" of the Early Church Fathers, namely the ransom theory, as well as in Gustaf Aulen's demystified reformulation, the Christus Victor theory; and in the "objective paradigm," which includes Anselm of Canterbury's satisfaction theory, the Reformed period's penal substitution theory, and the Governmental theory of atonement.

Definition

Substitutionary atonement, also called vicarious atonement, is the idea that Jesus died "for us". There is also a less technical use of the term "substitution" in discussion about atonement when it is used in "the sense that [Jesus, through his death,] did for us that which we can never do for ourselves".

The English word atonement originally meant "at-one-ment", i.e. being "at one", in harmony, with someone. According to Collins English Dictionary, it is used to describe the redemption through Jesus' death and resurrection, to reconcile the world to himself, and also of the state of a person having been reconciled to God.

The word "atonement" is often used in the Old Testament to translate the Hebrew words kipper and kippurim, which mean 'propitiation' or 'expiation'. The word occurs in the KJV in and has the basic meaning of reconciliation. In the Old Testament (Hebrew Bible or Tanakh), atonement was accomplished by the sacrifice of specified animals such as lambs to pay for one's sins.

A distinction has to be made between substitutionary atonement (Christ suffers for us), and penal substitution (Christ punished instead of us), which is a subset or particular type of substitutionary atonement. The Old Testament Deuterocanon added a fourth idea, namely the righteous martyr (2 Maccabees, 4 Maccabees, Wisdom 2-5).

These traditions of atonement offer only temporary forgiveness, and korbanot (offerings) could only be used as a means of atoning for the lightest type of sin, that is sins committed in ignorance that the thing was a sin. In addition, korbanot have no expiating effect unless the person making the offering sincerely repents his or her actions before making the offering, and makes restitution to any person who was harmed by the violation. Marcus Borg notes that animal sacrifice in Second Temple Judaism was not a "payment for sin," but had a basic meaning as "making something sacred by giving it as a gift to God," and included a shared meal with God. Sacrifices had numerous purposes, namely thanksgiving, petition, purification, and reconciliation. None of them were a "payment or substitution or satisfaction," and even "sacrifices of reconciliation were about restoring the relationship."

The idea that Jesus was predicted by Isaiah is attested in Luke 4:16-22, where Jesus is portrayed as saying that the prophesies in Isaiah were about him. In he refers to himself, and the Gospel of Matthew also applies that chapter to him ().

James F. McGrath refers to , "which presents a martyr praying “Be merciful to your people, and let our punishment suffice for them. Make my blood their purification, and take my life in exchange for theirs” (4 Maccabees 6:28-29). Clearly there were ideas that existed in the Judaism of the time that helped make sense of the death of the righteous in terms of atonement."

Paul

contains the kerygma of the early Christians:

The meaning of this kerygma is a matter of debate, and open to multiple interpretations. Traditionally, this kerygma is interpreted as meaning that Jesus' death was an atonement or ransom for, or propitiation or expiation of, God's wrath against humanity because of their sins. With Jesus' death, humanity was freed from this wrath. In the classical Protestant understanding humans partake in this salvation by faith in Jesus Christ; this faith is a grace given by God, and people are justified by God through Jesus Christ and faith in Him.

More recent scholarship has raised several concerns regarding these interpretations. The traditional interpretation sees Paul's understanding of salvation as involving "an exposition of the individual's relation to God." According to Krister Stendahl, the main concern of Paul's writings on Jesus' role, and salvation by faith, is not the individual conscience of human sinners, and their doubts about being chosen by God or not, but the problem of the inclusion of Gentile (Greek) Torah observers into God's covenant.<!-- **START OF NOTE** -->