“Jennifer was amazing,” the star’s ob-gyn, Dr. Anita Sadaty, tells Life & Style. “She has this motherhood glow about her, very serene. Her boy and girl are healthy — and for that she feels so thankful and blessed.”

A first-time mom, Jennifer, 38, had plenty of reasons to celebrate at North Shore University Hospital in Manhasset, N.Y., where her daughter and son were born at 12:12 and 12:23 a.m., respectively. “The delivery went without a hitch,” says Dr. Sadaty, who delivered the twins via a cesarean section. “There were no complications whatsoever.”

Just tears of joy from the singer’s husband, Marc Anthony, 39, who stood by her in the delivery room. “Oh yes, Marc was by her side,” says Dr. Sadaty. “He and Jennifer are simply overjoyed!”