Federal, state, and local prisons and jails include chaplains to varying degrees. All federal prisons, including ICE detention centers, have chaplains.
To work as a chaplain in a federal prison, you also have to be endorsed by a religious group. There is no standard list of endorsers for the Federal Bureau of Prisons as explained here. For the most part the same person or office handles all federal endorsements in most traditions. If you are having difficulty identifying the endorser in your tradition for the Federal Bureau of Prisons, try contacting the military or VA endorser.
Federal Bureau of Prisons: Chaplain (Job Series Number: 0060)
For Justice and Mercy : international reflections on prison chaplaincy by 
God in Captivity : the rise of faith-based prison ministries in the age of mass incarceration by 
Down in the Chapel : Religious Life in an American Prison by 
Spiritual Care in an Age Of #BlackLivesMatter : examining the spiritual and prophetic needs of African Americans in a violent America by 
Thinking Theologically about Mass Incarceration : biblical foundations and justice imperatives by 
Voices from American Prisons : Faith, Education and Healing by 
Women Leaving Prison : justice-seeking spiritual support for female returning citizens by 
Prison Religion : Faith-Based Reform and the Constitution by 
Religion in Prison : equal rites in a multi-faith society by Coming soon!
The Chaplaincy Innovation Lab, based at Brandeis University, supports research, teaching, and the provision of spiritual care in a range of settings.
