About getting yourown back for something that has been done wrong to you.Exodus teaches 'an eye for an eye' so some OrthodoxJews and traditionalChristians may support this type of punishment
Deterrence
Hopes to deter people from committing crime if they are aware of punishment. E.g. Death penalty
Protection
Aims to protectsociety from the criminal and the criminal from themselves such as prison
Vindication
Aims to make sure the law is respected. E.g. Fines
Reparation
Punishment should compensate the victim. This is seen as restorative justice
Reformation
Punishment should aim to change the criminal for the better. Most Christians and Jews will favour this type of punishment and it can be achieved through the work of prison chaplains