His hunger strikes to protest the special restrictions have resulted in "force-feeding", a move the lawsuit likens to waterboarding.
Abdulmutallab, 30, who has been in federal custody since the failed bombing attempt, is serving four terms of life imprisonment plus 50 years, The Denver Post reported. He was sentenced in February 2012 and transferred to ADX the next month.
On Christmas Day in 2009, Abdulmutallab tried to blow up an global flight - with a bomb sewn into his underwear - bound from Amsterdam to Detroit on behalf of al Qaeda, Reuters reported.
Abdulmutallab, the son of a corporate titan, trained at an al Qaeda camp in Yemen under the direction of US -born Muslim cleric Anwar al-Awlaki, according to the Justice Department.
At ADX Abdulmutallab is placed in solitary restrictive confinement due to special administrative measures (SAMs) and is not allowed contact with other individuals.
The complaint cited a recent Justice Department inspector general report in which a Florence prison psychologist said Range 13 was "a form of torture on some level" and qualified as solitary confinement.
J&K: Terrorists ransack house of police officer in Pulwama
On Saturday, terrorists had attacked the house of People's Democratic Party (PDP) leader Mohd Ashraf Pir in Tral town of Pulwama . Earlier, as well, residences of two ruling PDP workers were ransacked by the suspected militants last night in Tral and Shopian.
"Prison walls do not form a barrier separating prison inmates from the protections of the United States Constitution", the suit says.
The communication restrictions contained in Mr. Abdulmutallab's SAMs and implemented by the BOP are an unconstitutional deprivation of his First-Amendment rights to free speech and association.
He prayed that he should be regularly provided with halal food in accordance with his held religious beliefs. Additionally, Abdulmutallab argues that the ADX facility refuses to allow him to practice his Islamic faith causing him to go on a hunger strike that has resulted in forced feedings.At ADX, Mr. Abdulmutallab has been repeatedly force fed in a manner that is excessively and unnecessarily painful, abusive, dangerous, and degrading. But Gail Johnson, an attorney for Mr. Abdulmutallab, said in a statement that his rights were being violated.
The complaint also alleged that the SAMs "severely restrict Abdulmutallab's ability to practise religion as he is unable to participate in group prayers alongside fellow Muslims within the facility".
"Prisoners retain fundamental constitutional rights to communicate with others and have family relationships free from undue interference by the government", Abdulmutallab attorney old the New York Times.