Actress Molly Sims Has Baby Boy

"They both couldn't be happier," says a source close to the couple.

After announcing the pregnancy in January, Sims revealed the sex of the baby in April.

"I am a little nervous about the delivery and breastfeeding," she admitted to PEOPLE later that month. "I hope I can do it, I hope we come through. I am so excited to meet him and just hold his hand."