Gwyneth Paltrow Has a Boy

Gwyneth Paltrow Photo by: Mario Anzuoni / Reuters / Landov

Gwyneth Paltrow and Chris Martin have added to their family. Their second child, a son named Moses Martin, was born this weekend, the actress's rep tells PEOPLE. The baby was delivered at Mount Sinai Hospital in New York City.

The Shakespeare in Love Oscar winner, 33, and her British-born Coldplay frontman husband, 29, already have a daughter, Apple, born May 14, 2004. Moses is the name of a song Martin wrote for his wife in 2003.

Following months of speculation that she was pregnant, in January Paltrow confirmed that she and Martin were expecting. After a Screen Actors Guild screening of Paltrow's movie Proof, Lou Diamond Philips, about to moderate a panel on the film, introduced Paltrow as "a pregnant woman" and then asked her, "How far along are you?"

"Far enough along to feel very cumbersome," Paltrow answered.

When a member of the audience asked her how she got her hair so shiny, Paltrow replied, according to TV's The Insider: "It must be the prenatal vitamins ... I've been taking them for a few years."

Chris Martin, Gwyneth Paltrow and their daughter Apple. Photo by: STEVE SANDS / BAUER-GRIFFIN

Three months after the birth of daughter Apple, the new mother appeared on The Oprah Winfrey Show and admitted she couldn't understand why people were making such a fuss over the baby's name, which, in its entirety, is Apple Blythe Alison Martin.

Paltrow said that her husband suggested the name soon after she discovered she was pregnant. "It conjured such a lovely picture for me – you know, apples are so sweet and they're wholesome and it's biblical – and I just thought it sounded so lovely and ... clean," Paltrow told Winfrey. "And I just thought, 'Perfect!'"

"We love unusual names in the family," Paltrow's mom, Blythe Danner, told PEOPLE in January.

As for being a mom, Paltrow told Winfrey that the overwhelming love she feels for her child is "a whole new dimension in emotion that I've never experienced. It's crazy."