The name of the tradition is a reference both to Alex Sanders and to the ancient library of Alexandria, which was one of the first libraries in the world. The choice of name was inspired by a view of the library as an early attempt to bring together the knowledge and wisdom of the world into one place. Maxine Sanders recalls that the name was chosen when Stewart Farrar, a student of the Sanders', began to write What Witches Do. "Stewart asked what Witches who were initiated via our Covens should be called; after much discussion, he came up with "Alexandrian" which both Alex and I rather liked. Before this time we were very happy to be called Witches".
Alexandrian Wicca is practiced outside of Britain, including both Canada and the United States. Encyclopedia Mystica states that Alexandrian Wicca "never gained the popularity as did the Gardnerian tradition because it is believed Sanders’ negative publicity hurt it. As of the 1980s none of the American Alexandrian covens had any connection with Sanders himself. The Alexandrian covens have done better in Canada where they were more firmly established before all of Sanders’ negative publicity".
As compared to Gardnerian Wicca, Alexandrian Wicca is "somewhat more eclectic", according to The Encyclopedia of Modern Witchcraft and Neo-Paganism. Maxine Sanders notes that Alexandrians take the attitude "If it works use it". Tool use and deity and elemental names also differ from the Gardnerian tradition. Skyclad practice, or ritual nudity, is optional within the tradition, training is emphasized, and ceremonial magic practices, such as those derived from Hermetic Qabalah and Enochian magic may be part of ritual.
Alexandrian covens meet on new moons, full moons and during Sabbat festivals.
Some Alexandrians have instituted a preliminary rank called "neophyte" or "dedicant." In these Alexandrian covens, a neophyte is not bound by the oaths taken by initiates, and thus has an opportunity to examine the tradition before committing to it. Neophytes are not, however, considered to have actually joined the tradition until they do take first degree. As such they would not experience certain aspects of rituals that were considered oathbound.
Janet and Stewart Farrar, both of whom were initiated into the Alexandrian tradition by the Sanderses, describe themselves as having left the tradition after the release of Eight Sabbats for Witches. They were later referred to as "Reformed Alexandrian", a description that Janet Farrar does not use. The "Starkindler Line" is derived from Alexandrian Wicca, and Alexandrian Wicca was a major influence on both Blue Star Wicca and Odyssean Wicca.
The High Magical and Qabalistic strands of the Alexandrian tradition also informed the Ordine Della Luna in Constantinople which, from 1967 onwards, Sanders operated as a 'side-degree' or ancillary rite to Alexandrian Wicca, most notably in collaboration with Derek Taylor in the 1980s.