Céline Dion is a mom again – times two!

The singer gave birth to fraternal twin boys on Saturday at a Florida hospital at 11:11 a.m. and 11:12 a.m., her rep tells PEOPLE exclusively.

"Celine, René and their son René-Charles are thrilled," says her rep.

One of the boys weighed in at 5 lbs., 4 oz., with the other at 5 lbs., 10 oz.

The twins are healthy, says her rep, but will spend the next few days in an incubator because they were born premature.

"Celine is resting now and they plan to discuss what to name the boys when she wakes up," the rep adds. "René-Charles has been to the hospital to visit his brothers and is just so excited they are here."

Céline Dion Enters Hospital
By Stephen M. Silverman

Monday October 18, 2010 09:25 AM EDT
Céline Dion is preparing for the birth of her twin boys by checking into the hospital on the advice of her physicians, the singer's rep confirms to PEOPLE.

In a statement issued Monday morning, the hospital says, "Ms. Céline Dion has been admitted to St. Mary's Medical Center in West Palm Beach, Florida for observation at the recommendation of her doctors. She has been admitted to prevent the early delivery of her babies, which is the standard of care for any patient with twin pregnancy in this clinical setting."

The statement makes clear this is a preventive measure, "done to ensure the patient can be in close contact with their doctors and clinical resources, leading up to their birth," it says.

Last week, Dion's husband, René Angélil, told PEOPLE that, contrary to reports, his wife had not scheduled a C-section to deliver her twins on Oct. 22 – nor had she made outrageous demands of the hospital.

"There is nothing scheduled," he said. "We do not have a date" for the babies' birth.

Backs Husband's Statement

St. Mary's reiterated Angélil's statement, saying: "Céline and René have placed the health of their babies as their highest priority. Recently, rumors have circulated that Ms. Dion has made certain demands of St. Mary's Medical Center regarding the birth of her children. All of these rumors are false."

The hospital statement continued: "At no time did Ms. Dion or her husband make any special demands or requests of the hospital. She is not scheduled at any predetermined date for her delivery She has not requested or selected any particular staff or accommodations not available to other patients The patient is being treated as any other OB patient who comes to St. Mary’s Medical Center."

The medical facility also noted, "Although the family did not ask us to do so, the hospital has chosen to enhance our security efforts during this time for the convenience and safety of all our patients and their families within this same area of our facility."

In closing, the hospital said, "We look forward to the day of Ms. Dion's delivery of her twins. During this time, we ask the public and the media respect the privacy of all of our patients and their families at our hospital."