Burke, 35, gave birth Monday to Heaven Rain Charvet in Santa Monica, her publicist Nancy Iannios said.
"They're doing great and resting at home now," Iannios said Tuesday.
It was the third child for Burke, who has daughters Neriah, 6, and Sierra Sky, 4, with former husband Garth Fisher, a plastic surgeon who has appeared on ABC's "Extreme Makeover."
Burke and Charvet, 34, were engaged in August and plan to wed this spring, Iannios said.
Burke hosted the CBS reality series "Rock Star: Supernova" last year and the E! cable channel's "Wild On..." from 1999 to 2002.
In the '90s, Charvet had roles on the TV shows "Baywatch" and "Melrose Place." A native of France, he has recorded several pop rock albums released in Europe.