In criminal justice, particularly in North America, correction, corrections, and correctional, are umbrella terms describing a variety of functions typically carried out by government agencies, and involving the punishment, treatment, and supervision of persons who have been convicted of crimes. These functions commonly include imprisonment, parole, and probation. A typical correctional institution is a prison. A correctional system, also known as a penal system, thus refers to a network of agencies that administer a jurisdiction's prisons, and community-based programs like parole, and probation boards. This system is part of the larger criminal justice system, which additionally includes police, prosecution and courts. Jurisdictions throughout Canada and the US have ministries or departments, respectively, of corrections, correctional services, or similarly-named agencies.

Punishment, commonly, is the imposition of hated or unpleasant outcome upon a group or individual, meted out by an authority—in contexts ranging from child discipline to criminal law—as a response and deterrent to a particular action or behavior that is deemed undesirable or unacceptable. It is, however, possible to distinguish between various different understandings of what punishment is.