Michelle Duggar, of Arkanas, delivered the baby girl by Caesarean section.
Jordyn-Grace Makiya Duggar, weighed 7 pounds, 3 ounces (3.26 kilograms) and was 20 inches (51 centimeters) long.
Her father Jim Bob Duggar, said he was thrilled by her arrival.
"The ultimate Christmas gift from God," said he said. "She`s just absolutely beautiful, like her mom and her sisters."
The Duggars now have 10 sons and eight daughters, and all their names being with the letter J.
Jim Bob Duggar said Michelle started having contractions on Wednesday night. She needed the Caesarean section, her third, because the baby was lying sideways. Jim Bob said both baby and mother were doing well.
"We both would love to have more," he said.
The UScable network TLC broadcasts a weekly show about the Duggars, called "Seventeen and Counting." Chris Finnegan of TLC - which handles public relations for the Duggar family - said the show`s name would be updated to account for the latest addition to the famil.
The couple`s oldest child, Joshua, is 20.
The other Duggar children, in between Joshua and Jordyn-Grace, are Jana, 18; John-David, 18; Jill, 17; Jessa, 16; Jinger, 14; Joseph, 13; Josiah, 12; Joy-Anna, 11; Jeremiah, 9; Jedidiah, 9; Jason, 8; James, 7; Justin, 6; Jackson, 4; Johannah, 3; and Jennifer, 1.
"Our whole family is excited about Jordyn`s addition to our family," Jim Bob Duggar said. "She`s just perfect in every way."