The Qaeda chief's fourth eldest son had planned to travel to Paris for the release on Friday of "Osama bin laden: A Family Portrait", which denounces his father's murderous ways, said a spokesman for the publishers Denoel.
"The countries of the (25-country) Schengen zone decided to reject his request for a visa," the spokesman added.
"As of Tuesday night, France had not decided whether to grant him a visa that would be valid on its territory. Since then, there has been no word," he said.
"This is taking much longer than usual and the book is due out in bookshops on Friday."
The book was co-written with his mother Najwa, a 51-year-old Syrian woman and the first of Osama's five wives, and American journalist Jean Sasson.
But Omar's wife Zaina later denied the publisher's allegation in an email to AFP.
"Omar has not and never has been refused a Schengen visa when he has applied for one.
Bin Laden's son currently resided outside the Middle East, she added.
"Omar was asked to do a book tour in France but due to time scale and personal issues it was not possible for him to travel on the date requested," she said.
In his book, the 29-year-old Omar chronicles life in the family of the world's most wanted man, as one of 20 children.
Najwa and bin Laden were married in Saudi Arabia in 1974 and the family then moved to Sudan and later Afghanistan where Al-Qaeda was headquartered before the September 11, 2001 attacks.
Liberation newspaper reported that Omar was currently in Qatar having been turned back from Spain and deported from Egypt, all in the same week.
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