The former TLC reality stars welcomed daughter Meredith Grace Duggar, Josh announced on Twitter. She weighed in at 7 lbs., 14 oz. and 20.5 inches long.
Josh shared two shots of the newborn, including a close-up of her face.
The Duggar family also shared a video about Meredith's arrival.
She joins big siblings Marcus, 2, Michael, 4, and Mackynzie, 5, who is especially excited about the baby girl's arrival.
"Mackynzie made a recording saying, 'Hi, little sister, it is so great to meet you, you are already my best friend,' " Anna, 27, told PEOPLE in March after revealing the sex of their child.
And she'll have a baby cousin soon enough: Josh's sister Jessa (Duggar) Seewald is also expecting. Anna, who went into labor past her due date, posed with Jessa in an Instagram last Sunday, comparing baby bumps.
RELATED VIDEO: Josh and Anna Duggar Welcome Daughter Meredith Grace
Josh, 27, has been focusing on family since news of his molestation scandal broke in May, celebrating Anna's birthday and thanking father Jim Bob Duggar for helping him "through hard times."
Josh and Anna's baby news comes just three days after TLC announced they would be cancelling his family's reality show, 19 Kids and Counting.