The twins were born at a Long Island hospital on Feb. 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.