It's a Boy for Brooke Burke & David Charvet

Originally posted Thursday March 06, 2008 04:05 PM EST

It's a boy – finally – for Rock Star: Supernova host Brooke Burke and fiancé David Charvet, her rep confirms to PEOPLE.

"Burke delivered the baby boy at 11:31 a.m. on Wednesday, March 5, 2008, in Los Angeles," says the spokesperson. "He weighs 6.5 pounds and is 20 1/4 inches long. Both mom and baby are doing well."

This is Burke's fourth child, her second with Charvet – and her first son.

The couple's other child together, daughter Rain, turned 1 on Jan. 8. Neriah, 7, and Sierra, 5, are Burke's children with ex-husband Garth Fisher.

Burke, 36, and Charvet, 35, a former Baywatch star, announced their engagement and pregnancy in August.

Regarding her children's "crazy, hippy names," Burke told MomLogic.com, "People are wondering what we are going to come up with next."

"The couple has not announced a name yet," says the rep, who adds that the new parents "are thrilled."

Burke recently launched her own online baby store, BabooshBaby.com, the home of "Tauts," the post-pregnancy Belly Wrap, the rep also noted.