"In this country, no one can stop prosecutors from charging a crime," the attorneys said in a statement. "But when you're accused, you can fight back in the courtroom — and that is exactly what Josh intends to do."
A federal judge set a May 5 detention hearing and a July 6 trial date.
Duggar starred on TLC's "19 Kids and Counting" until it was pulled from the network in 2015 over revelations Duggar had molested four of his sisters and a babysitter. Duggar's parents said he had confessed to the fondling and apologised.
Duggar previously apologised for a pornography addiction and cheating on his wife.
If convicted, Duggar faces up to 20 years of imprisonment and fines up to $250,000 on each count.
- AP