Brooke Burke and David Charvet
03/06/2008 at 03:00 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.