The former reality TV star posted a picture on Instagram to commemorate his wife's birthday and their seventh engagement anniversary.
The photo shows the two, all smiles, enjoying a celebratory dessert.
"Happy Birthday to my beautiful wife @annaduggar," he captioned the photo. "We're also celebrating our 7 year engagement anniversary today!"
Entertainment Tonight reported that Duggar, 27, has been "embroiled" in the scandal for weeks now. The controversy began when he admitted to molesting five girls in his past, including his sisters.
TLC has since suspended 19 Kids and Counting, which once featured Josh and Anna.
ET also mentioned that the family has hired a bodyguard and moved back to his home state of Arkansas from Oxon Hill, Md., to be closer to family.
Duggar family matriarch, Michelle, sent well wishes to Anna on Tuesday, saying on Facebook: "This is a young woman we love so dearly! Anna is not only a wonderful wife and mother but she is a dear daughter-in-law to us and a precious friend. I'm so touched by her steadfast faith in Christ and her kindness at every turn. When you pray for your children growing up you always think about who they will marry and who will end up joining your family. Wow, we are so thankful that God brought Anna into our lives. Anna, we love you so much. Happy, happy, happy 27th birthday!!!"