The problem of Hell is an ethical problem in the Abrahamic religions of Christianity and Islam, in which the existence of Hell or Jahannam for the punishment of souls in the afterlife is regarded as inconsistent with the notion of a just, moral, and omnipotent, omnibenevolent, omniscient supreme being. Also regarded as inconsistent with such a just being is the combination of human free will—on which the justification for eternal damnation for sinners is predicated—and the divine qualities of omniscience (being all-knowing) and omnipotence (being all-powerful), as this would mean God (not humans) would determine everything that has happened and will happen in the universe—including sinful human behavior.

C. P. Ragland of Saint Louis University writes in the Internet Encyclopedia of Philosophy that the problem of hell is "a version of" the problem of evil. He defines the problem of hell: "If there is an omniperfect God—one that necessarily has the perfection of Goodness—then no one will be damned."

The problem of hell derives from four key propositions: Hell exists; it is for the punishment of people whose lives on Earth are judged to have been sinful; some people go there; and there is no escape.

There are several major issues within the problem of Hell.

Traditionally Hell is defined in Christianity and Islam as one of two abodes of Afterlife for human beings (the other being Heaven or Jannah), and the one where sinners suffer torment eternally. There are several words in the original languages of the Bible that are translated into the word 'Hell' in English. There are also a number of names in the Quran that translate as hell, perhaps the most common one being Jahannam. In at least some versions of Christianity there is a question of whether or not Hell is actually populated forever. If it is not, one must suppose that those populating Hell may eventually die, or that God will ultimately restore all immortal souls in the World to Come, i.e. Heaven, which would at least lessen the issue of divine injustice and deal with one of the key propositions of there being "no escape". This is known as the universal reconciliation doctrine. In Islam it is commonly thought that Muslim sinners will not spend eternity in Hell but spend time there to be purified of their sins before being allowed into Heaven.

The question of compatibility of free will on the one hand, and God's omnipotence and omniscience on the other, can be framed as:

... "Does God know or does He not know that a certain individual will be good or bad? If thou sayest 'He knows', then it necessarily follows that the man is compelled to act as God knew beforehand how he would act; otherwise, God's knowledge would be imperfect...." (Jewish philosopher Moses Maimonides)

An early Islamic school of thought known as Muʿtazila could not accept the orthodoxy of determinism since it meant that a person "could be punished for acts which God himself had commanded him to perform". Muʿtazila were then accused of the heresy of "dualism" because they gave human beings 'power' over their actions (free will), which made them the 'creator' of their works, and "thus encroached on the almighty power of God, for there would be two creators of actions".