First advertised as The New Conjurors' Magazine and dropped the word "New" after Vol 1, No. 6.
It was also selected as the official organ for the Magician's Guild of America.
A complete file consists of 55 issues.
From Vol. 4. No. 12 thru Vol. 5, No.7, the covers had drawings by Ed Mishell of magicians Alexander Herrmann, T. Nelson Downs, Henry Ridgely Evans, Imro Fox, The Martinka's, Robert Houdin and Chung Ling Soo.
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.