The U.S. Bureau of Land Management and the Hutchinson Correctional Facility are co-sponsoring the event.
The Wichita Eagle reports eight saddle-trained horses, a two-horse driving team and several untrained horses and burros will be up for adoption.
The BLM occasionally removes animals from wild herds in the West to protect the herds' health.
Inmates will conduct training demonstrations throughout the day on June 1, with a competitive bid adoption June 2.
To qualify for an adoption, a person must be at least 18 years old with no record of animal abuse and have suitable facilities for horses. Each buyer will be limited to no more than four horses.