First advertised as The New Conjurors' Magazine and dropped the word "New" after Vol 1, No. 1. Houdini's brother, Hardeen, helped get this magazine launched, but he passed away shortly after the magazine started. It was selected as the official organ for the Magician's Guild of America. It eventually changed hands to Ed Dart in 1947 (Volume 4, #10), with Robert Lund as editor (Gibson still continued as a columnist).
Genii magazine absorbed The Conjurors' Magazine and from November, 1949 until 1974 as Genii became Genii, The Conjurors' Magazine. It was eventually changed to Genii The International Conjurors' Magazine with the May 1974 issue. It stayed that way until Richard Kaufman took over the magazine on January 1999. He changed it to just Genii then reverted back to Genii, The Conjurors' Magazine with the July 1999 issue.
