"She's thrilled," Lopez's manager, Simon Fields, told The Associated Press. He said the babies were born "just after midnight this morning."
Fields confirmed that the girl arrived first, weighing 5 pounds, 7 ounces. "Her boy is 6 pounds even and arrived about 15 minutes later" at a Long Island hospital, he said. The location was not identified.
Ending months of speculation, Lopez confirmed her pregnancy at a Miami 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 fourth and fifth.