Oliver Hudson and Erinn Bartlett are first-time parents of a boy, PEOPLE confirms.

Wilder Brooks Hudson was born Aug. 23 in Los Angeles, the couple's rep said Monday.

"I'm so tired, but I'm on a high, and I want to take in all of it," Hudson tells E! News.

He said the baby was born a few weeks before the due date.

Hudson, 30, star of the CBS comedy Rules of Engagement, and Bartlett, 34, who appeared in the movies Rumor Has It and Raising Helen, have been married for more than a year.

After a four-year relationship, they were engaged in 2004 and married in June 2006 in Mexico in a beachside ceremony attended by Hudson's sister Kate Hudson, her then-husband Chris Robinson, their son Ryder, now 3, plus Hudson's mom Goldie Hawn and her partner, Kurt Russell.

"I want babies," Oliver Hudson told PEOPLE after his engagement. "I think I'll be a great dad."


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