The mother described her baby Christina, who arrived on September 11, as a “little miracle”.
It came as commemorations were held across the US to mark 18 years since the 9/11 attacks.
“Christina is a little miracle during such a sad time. She is a new life amongst the devastation and destruction,” mother-of-four Cametrione Malone-Brown said.
Father Justin Brown added: “We heard the doctor announce the time of birth 9/11 and then when they weighed Christina, we heard gasps of astonishment when everyone realised Christina weighed 9/11, was born at 9:11 and on 9/11.
“It was really exciting, especially to find some joy during a day of such tragedy.”
Rachel Laughlin, who has worked in women’s services at the hospital for more than 35 years, called the birth on Wednesday a “historic event”.
She said: “I’ve never seen a baby’s birthdate, time of birth, and weight all be matching numbers. This is extremely special, even more so with the 18th anniversary of 9/11.
“9/11 was such a time of tragedy, Christina is a little bundle of hope and happiness.”
When Christina is older, her parents say they will share with her the significance of her birth.
On a Facebook post shared by the hospital, Christina's mother reportedly said: "We had emotions and we felt it.
"Then 18 years later on that day 9/11, you find triumph; you find a piece of joy from a day that was so drastic and still hurts."
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On Wednesday, family members of those killed in the attacks gathered in New York at the National September 11 Memorial & Museum.
The names of the victims were read and the crowds observed two moments of silence – for when each of the planes struck the World Trade Center.