The book, written in Arabic, is titled The Knights Under the Prophet's Banner.
"Two publishing houses, one in London and the other in the [Persian] Gulf, are involved in negotiations," the publisher said, declining to be named.
He said the book told the life story of the Egyptian Islamic militant and the history of the Islamic movement in Egypt.
Zawahri, a surgeon by training, is believed to be hiding with bin Laden in Afghanistan, which has been under U.S. attack since the ruling Taliban refused to hand over the Saudi-born militant, Washington's prime suspect behind the Sept. 11 attacks on New York and Washington.
Zawahri has written several books, including "The Bitter Harvest" in which he criticized Egypt's banned but most influential Islamic group, the Muslim Brotherhood.
Zawahri, who is believed to head Egypt's second-largest radical group, al-Jihad, joined ranks with bin Laden in 1998 in a front that aimed to strike U.S. and Jewish interests.
Jihad followers and members of Egypt's largest extremist group, al-Gama'a al-Islamiya, assassinated president Anwar Sadat in 1981.
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