The 12-count indictment, obtained by CNN, also alleges that Chrisleys committed bank fraud and wire fraud insurance, among other crimes.
The married couple are stars in the USA Network reality series "Chrisley Knows Best", which follows the family's overall lifestyle and activities.
Before the prosecution was issued, Todd Chrisley took to Instagram to deny the allegations, which means the allegations are based on evidence presented to investigators by a disgruntled former employee.
He claimed that this employee, whom he does not name, stole from the family, created fake documents, falsified their signatures and bugged their homes. Chrisley said there are employees' other attempts to get the family accused and called it a revenge.
"I tell you all this now that we have nothing to hide and have done nothing to be ashamed of," he wrote on Instagram. "Not only do we know we haven't done anything wrong, but we have lots of hard evidence and a lot of corroborating witnesses to prove it."
"Chrisley knows best" has been broadcast on the USA Network since 201
A spin-off, "Growing up Chrisley", which focuses on the children Chase and Savannah, premiered in April.
CNN's Chuck Johnston contributed to this story.