Bissonnette writes that none of the SEALs were fans of President Barack Obama and knew that his administration would take credit for ordering the raid. One of the SEALs said after the mission that they had just gotten Obama re-elected by carrying out the raid.
But he says they respected him as commander in chief and for giving the operation the go-ahead.
Bissonnette writes less flatteringly of meeting Vice President Joe Biden along with Obama at the headquarters of the 160th Special Operations Aviation Regiment after the raid. He says Biden told "lame jokes" no one understood, reminding him of "someone's drunken uncle at Christmas dinner."
Beyond such embarrassing observations, U.S. officials fear the book may include classified information, as it did not undergo the formal review required by the Pentagon for works published by former or current Defense Department employees.
Officials from the Pentagon and the CIA, which commanded the mission, are examining the manuscript for possible disclosure of classified information and could take legal action against the author.
In a statement provided to the AP, the author says he did "not disclose confidential or sensitive information that would compromise national security in any way."
Bissonnette's real name was first revealed by Fox News and confirmed to the AP.
Jihadists on al-Qaida websites have posted purported photos of the author, calling for his murder.
Follow Kimberly Dozier on Twitter: http://es.twitter.com/KimberlyDozier
Copyright 2012 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.