There is no provision for punishment of stoning to death in the Quran, but it is described who deserves the stone-pelting punishment in the Sunnah.
Stoning is a form of capital punishment in which the convicted criminal is put to death by having stones thrown at them, generally by a crowd. In Sunnah, stoning is mostly linked to adultery crimes. The Quran (24:2 Surah a Nur) mentions only lashing as punishment for adultery (Refer Page No.4, La Strada International Association).
In Sunnah, the prescription for the punishment of premarital and extramarital adultery differs. For extramarital adultery, pelting with stones to death is prescribed (Refer Page No.7, Center on Juvenile and Criminal Justice).