Previously, Anna Duggar stuck with Josh after a report broke that detailed molestation of some young women, including other Duggars siblings, when he was a teenager.
He was married to Anna at the time, which is notable, as Ashley Madison was a website where cheating spouses could find outside companionship.
The former 19 Kids and Counting star was also involved in a scandal when he name was found on a list of Ashley Madison users.
Previous reports have indicated the reality TV star may feel her husband is innocent in this latest matter after sticking with him previously.