Update: Jennifer Lopez and Marc Anthony have reportedly named their newborn twins Max and Emme.
Lopez's manager, Simon Fields, confirmed the babies' names to People magazine on Friday.
The twins were born at a Long Island hospital on February 22, with 5-pound, 7-ounce Emme arriving about 15 minutes before her 6-pound brother. The hospital's name was not disclosed.
Fields said then that Lopez, a first-time mother at 39, was "thrilled" at the babies' arrival. The 38-year-old Anthony has three other children.
The Latin music power couple married in 2004.
The babies arrived a day after both their parents were named as winners of Latin music's "Premio Lo Nuestro" awards. Lopez won this year's award for best solo pop singer, while Anthony was named salsa artist of the year.
Previously: Jennifer Lopez gave birth to twins early Friday, making the singer and husband Marc Anthony the parents of a boy and a girl after one of pop music's most closely watched pregnancies.
Lopez representative Simon Fields told People magazine the babies were born at 12:45 a.m. on Long Island, with the 5-pound, 7-ounce girl arriving first, followed by her 6-pound brother minutes later. .
The exact location was not identified.
"Jennifer and Marc are delighted, thrilled and over the moon," Fields told the magazine.
Lopez' publicists and agent did not return telephone calls from The Associated Press early Friday.
Ending months of speculation, Lopez confirmed her pregnancy at a Miami, Florida, concert in November.
Her father, David Lopez, told Telefutura's "Escandalo TV" earlier this month that the 39-year-old singer was expecting twins.
Lopez and Anthony, 38, married in 2004.
The twins are her first children, and his third and fourth.