By Brendan Sasso - 04/05/12 02:34 PM EDT
The Journal reports that the terms of the agency's settlement offer are not finalized but the publishers would likely have to allow Amazon to discount their e-books.
It is unclear whether the books would continue to be available on Apple's iPad and, if so, at what price.
If the government and the companies are unable to reach an agreement, the Justice Department has warned it is prepared to go to court over the issue.
Neither Apple nor the Justice Department responded to a request to comment.