The book has been written to clear up what Kjos claims are the falsehoods in Hoyt Spill (High Stakes), last year's biography, which claimed Kjos had a violent temper and had at times smashed chairs against the walls of his offices, stories he dismissed as "nonsense".
"There are things he just invented, and the most interesting stuff he knows nothing about," Kjos told the DN newspaper.
Kjos was a pilot in the Norwegian air force before becoming a lawyer and then founding Norwegian Airlines largely by mistake after friends asked him to draft an investment plan for their struggling aviation company.
Instead, he and his brother took a 55 percent stake, and Norwegian Airlines was born.
This is not the first time Kjos has put pen to paper. In 2006, he published a spy thriller The Murmansk Affair, which drew on his own experiences as a fighter pilot.
The new book is set to be released this autumn.