 This article sets out the original axioms, with the original text (translated into English) and original numbering.The axioms of Zermelo set theory are stated for objects, some of which (but not necessarily all) are called sets, and the remaining objects are urelements and do not contain any elements.Zermelo's language implicitly includes a membership relation ∈, an equality relation = (if it is not included in the underlying logic), and a unary predicate saying whether an object is a set.